53600 (number)
53,600 (fiftythree thousand six hundred) is an even fivedigits composite number following 53599 and preceding 53601. In scientific notation, it is written as 5.36 × 10^{4}. The sum of its digits is 14. It has a total of 8 prime factors and 36 positive divisors. There are 21,120 positive integers (up to 53600) that are relatively prime to 53600.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 14
 Digital Root 5
Name
Short name  53 thousand 600 

Full name  fiftythree thousand six hundred 
Notation
Scientific notation  5.36 × 10^{4} 

Engineering notation  53.6 × 10^{3} 
Prime Factorization of 53600
Prime Factorization 2^{5} × 5^{2} × 67
Composite numberω(n)  Distinct Factors  3  Total number of distinct prime factors 

Ω(n)  Total Factors  8  Total number of prime factors 
rad(n)  Radical  670  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  0  Returns:

Λ(n)  Mangoldt function  0  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 53,600 is 2^{5} × 5^{2} × 67. Since it has a total of 8 prime factors, 53,600 is a composite number.
Divisors of 53600
36 divisors
τ(n)  Total Divisors  36  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  132804  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  79204  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  3689  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  231.5167380558  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  14.529682840878  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 53,600 can be divided by 36 positive divisors (out of which 30 are even, and 6 are odd). The sum of these divisors (counting 53,600) is 132,804, the average is 3,689.
Other Arithmetic Functions (n = 53600)
φ(n)  Euler Totient  21120  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  2640  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 5461  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 21,120 positive integers (less than 53,600) that are coprime with 53,600. And there are approximately 5,461 prime numbers less than or equal to 53,600.
Divisibility of 53600
m  2  3  4  5  6  7  8  9 

n mod m  0  2  0  0  2  1  0  5 
The number 53,600 is divisible by 2, 4, 5 and 8.
Classification of 53600
By Arithmetic functions
 Arithmetic
 Abundant
Expressible via specific sums
 Polite
 Practical
By Shape (2D, noncentered)
 Octagonal
Other numbers
 Frugal
Base conversion (53600)
Base  System  Value 

2  Binary  1101000101100000 
3  Ternary  2201112012 
4  Quaternary  31011200 
5  Quinary  3203400 
6  Senary  1052052 
8  Octal  150540 
10  Decimal  53600 
12  Duodecimal  27028 
16  Hexadecimal  d160 
20  Vigesimal  6e00 
36  Base36  15cw 
Basic calculations (n = 53600)
Multiplication
n×yn×2  107200 

n×3  160800 
n×4  214400 
n×5  268000 
Division
n÷yn÷2  26800.000 

n÷3  17866.666 
n÷4  13400.000 
n÷5  10720.000 
Exponentiation
n^{y}n^{2}  2872960000 

n^{3}  153990656000000 
n^{4}  8253899161600000000 
n^{5}  442408995061760000000000 
Nth Root
^{y}√n^{2}√n  231.5167380558 

^{3}√n  37.70407262042 
^{4}√n  15.215674091403 
^{5}√n  8.8274030798024 
53600 as geometric shapes
Circle
Radius = nDiameter  107200 

Circumference  336778.73246483 
Area  9025670030.0573 
Sphere
Radius = nVolume  6.4503455148143E+14 

Surface area  36102680120.229 
Circumference  336778.73246483 
Square
Length = nPerimeter  214400 

Area  2872960000 
Diagonal  75801.846943198 
Cube
Length = nSurface area  17237760000 

Volume  153990656000000 
Space diagonal  92837.923285692 
Equilateral Triangle
Length = nPerimeter  160800 

Area  1244028172.0283 
Altitude  46418.961642846 
Triangular Pyramid
Length = nSurface area  4976112688.1131 

Volume  18147972849494 
Height  43764.216737726 
Cryptographic Hash Functions
md5  bd6c07a61581fd939a71f0d2c99dd8a8 

sha1  2d915dc0e8bc6b0e4003762ab95ca6b018302b0e 
sha256  18d890cfc562e268a421b820dfb749d778704e92ea991a422fe5f6ebe77b7de4 
sha512  6eb1536f4404788516875eeb4ac6a7dfb8176c2e67e95190fe64120396c56b7ae14faf609dfbf23d633aee590793ddd0677648d7948955802f9e607a3c527c50 
ripemd160  75ca533adce552a0fa56ea5ba6f0e7016a8784d9 