53129 (number)
53,129 (fiftythree thousand one hundred twentynine) is an odd fivedigits prime number following 53128 and preceding 53130. In scientific notation, it is written as 5.3129 × 10^{4}. The sum of its digits is 20. It has a total of 1 prime factor and 2 positive divisors. There are 53,128 positive integers (up to 53129) that are relatively prime to 53129.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 20
 Digital Root 2
Name
Short name  53 thousand 129 

Full name  fiftythree thousand one hundred twentynine 
Notation
Scientific notation  5.3129 × 10^{4} 

Engineering notation  53.129 × 10^{3} 
Prime Factorization of 53129
Prime Factorization 53129
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  53129  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  10.88047819751  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 53,129 is 53129. Since it has a total of 1 prime factor, 53,129 is a prime number.
Divisors of 53129
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  53130  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  26565  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  230.49728848731  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999623564841  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 53,129 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 53,129) is 53,130, the average is 26,565.
Other Arithmetic Functions (n = 53129)
φ(n)  Euler Totient  53128  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  53128  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 5418  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 53,128 positive integers (less than 53,129) that are coprime with 53,129. And there are approximately 5,418 prime numbers less than or equal to 53,129.
Divisibility of 53129
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  4  5  6  1  2 
53,129 is not divisible by any number less than or equal to 9.
Classification of 53129
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (53129)
Base  System  Value 

2  Binary  1100111110001001 
3  Ternary  2200212202 
4  Quaternary  30332021 
5  Quinary  3200004 
6  Senary  1045545 
8  Octal  147611 
10  Decimal  53129 
12  Duodecimal  268b5 
16  Hexadecimal  cf89 
20  Vigesimal  6cg9 
36  Base36  14zt 
Basic calculations (n = 53129)
Multiplication
n×yn×2  106258 

n×3  159387 
n×4  212516 
n×5  265645 
Division
n÷yn÷2  26564.500 

n÷3  17709.666 
n÷4  13282.250 
n÷5  10625.800 
Exponentiation
n^{y}n^{2}  2822690641 

n^{3}  149966731065689 
n^{4}  7967582454788990881 
n^{5}  423309688240484296516649 
Nth Root
^{y}√n^{2}√n  230.49728848731 

^{3}√n  37.593308376094 
^{4}√n  15.182137151511 
^{5}√n  8.8118344290268 
53129 as geometric shapes
Circle
Radius = nDiameter  106258 

Circumference  333819.35218514 
Area  8867744181.1223 
Sphere
Radius = nVolume  6.2817917413179E+14 

Surface area  35470976724.489 
Circumference  333819.35218514 
Square
Length = nPerimeter  212516 

Area  2822690641 
Diagonal  75135.75235532 
Cube
Length = nSurface area  16936143846 

Volume  149966731065689 
Space diagonal  92022.127355327 
Equilateral Triangle
Length = nPerimeter  159387 

Area  1222260901.0653 
Altitude  46011.063677663 
Triangular Pyramid
Length = nSurface area  4889043604.2612 

Volume  17673748748155 
Height  43379.646848109 
Cryptographic Hash Functions
md5  2a3dbd54aaacef9d5b93368083dd8bf3 

sha1  14674f8100c1afdd520660444270951240ce56c7 
sha256  e2f1bccb8a3685cca5c1cfaa0e87044ea43b09fccd37b0f7df3286fe13d1bee5 
sha512  e142565114790579699b0cfe6988b7bd3f0defbefa9162daa74dcd5c93b030bb21f86d1891dc0c5a5821638b8d67fc6828f756a217307935f688f7ab632c7b16 
ripemd160  d733e9698fc02ff46e03d70fb2f0cb7a3ecc0168 