128053 (number)
128,053 (one hundred twentyeight thousand fiftythree) is an odd sixdigits prime number following 128052 and preceding 128054. In scientific notation, it is written as 1.28053 × 10^{5}. The sum of its digits is 19. It has a total of 1 prime factor and 2 positive divisors. There are 128,052 positive integers (up to 128053) that are relatively prime to 128053.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 6
 Sum of Digits 19
 Digital Root 1
Name
Short name  128 thousand 53 

Full name  one hundred twentyeight thousand fiftythree 
Notation
Scientific notation  1.28053 × 10^{5} 

Engineering notation  128.053 × 10^{3} 
Prime Factorization of 128053
Prime Factorization 128053
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  128053  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  11.760199519702  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 128,053 is 128053. Since it has a total of 1 prime factor, 128,053 is a prime number.
Divisors of 128053
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  128054  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  64027  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  357.84493848593  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.999984381589  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 128,053 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 128,053) is 128,054, the average is 64,027.
Other Arithmetic Functions (n = 128053)
φ(n)  Euler Totient  128052  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  128052  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 11963  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 128,052 positive integers (less than 128,053) that are coprime with 128,053. And there are approximately 11,963 prime numbers less than or equal to 128,053.
Divisibility of 128053
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  3  1  2  5  1 
128,053 is not divisible by any number less than or equal to 9.
Classification of 128053
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (128053)
Base  System  Value 

2  Binary  11111010000110101 
3  Ternary  20111122201 
4  Quaternary  133100311 
5  Quinary  13044203 
6  Senary  2424501 
8  Octal  372065 
10  Decimal  128053 
12  Duodecimal  62131 
16  Hexadecimal  1f435 
20  Vigesimal  g02d 
36  Base36  2qt1 
Basic calculations (n = 128053)
Multiplication
n×yn×2  256106 

n×3  384159 
n×4  512212 
n×5  640265 
Division
n÷yn÷2  64026.500 

n÷3  42684.333 
n÷4  32013.250 
n÷5  25610.600 
Exponentiation
n^{y}n^{2}  16397570809 

n^{3}  2099758134804877 
n^{4}  268880328436168914481 
n^{5}  34430932697236738006035493 
Nth Root
^{y}√n^{2}√n  357.84493848593 

^{3}√n  50.403796850098 
^{4}√n  18.916789856789 
^{5}√n  10.506981110886 
128053 as geometric shapes
Circle
Radius = nDiameter  256106 

Circumference  804580.72814027 
Area  51514487990.273 
Sphere
Radius = nVolume  8.7954463074912E+15 

Surface area  206057951961.09 
Circumference  804580.72814027 
Square
Length = nPerimeter  512212 

Area  16397570809 
Diagonal  181094.28930256 
Cube
Length = nSurface area  98385424854 

Volume  2099758134804877 
Space diagonal  221794.30206162 
Equilateral Triangle
Length = nPerimeter  384159 

Area  7100356440.4741 
Altitude  110897.15103081 
Triangular Pyramid
Length = nSurface area  28401425761.896 

Volume  2.4745886932869E+14 
Height  104554.83667754 
Cryptographic Hash Functions
md5  5c9947c1da1ad62a4f8b5034ce632694 

sha1  c451f547f7d0450ff814e057ac986e13bdd7bad0 
sha256  b89dcc1cee9e58be20a53ea1e50d4edcf95e6489571ac5603687055021f1acef 
sha512  89142eda4d38f6a02c6f94df2c0b5822e945a9d2eaeff4ac39e4c661c8caa450c367f7b82c44f7148662fa24eaabeda3d222c1ea92e97457e4a22c92cba4d269 
ripemd160  2cb8657758a1c7723b9898c02853cbdd31fb2837 