57880 (number)
57,880 (fiftyseven thousand eight hundred eighty) is an even fivedigits composite number following 57879 and preceding 57881. In scientific notation, it is written as 5.788 × 10^{4}. The sum of its digits is 28. It has a total of 5 prime factors and 16 positive divisors. There are 23,136 positive integers (up to 57880) that are relatively prime to 57880.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 28
 Digital Root 1
Name
Short name  57 thousand 880 

Full name  fiftyseven thousand eight hundred eighty 
Notation
Scientific notation  5.788 × 10^{4} 

Engineering notation  57.88 × 10^{3} 
Prime Factorization of 57880
Prime Factorization 2^{3} × 5 × 1447
Composite numberω(n)  Distinct Factors  3  Total number of distinct prime factors 

Ω(n)  Total Factors  5  Total number of prime factors 
rad(n)  Radical  14470  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 57,880 is 2^{3} × 5 × 1447. Since it has a total of 5 prime factors, 57,880 is a composite number.
Divisors of 57880
16 divisors
τ(n)  Total Divisors  16  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  130320  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  72440  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  8145  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  240.58262613913  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  7.1062001227747  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 57,880 can be divided by 16 positive divisors (out of which 12 are even, and 4 are odd). The sum of these divisors (counting 57,880) is 130,320, the average is 8,145.
Other Arithmetic Functions (n = 57880)
φ(n)  Euler Totient  23136  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  2892  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 5851  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 23,136 positive integers (less than 57,880) that are coprime with 57,880. And there are approximately 5,851 prime numbers less than or equal to 57,880.
Divisibility of 57880
m  2  3  4  5  6  7  8  9 

n mod m  0  1  0  0  4  4  0  1 
The number 57,880 is divisible by 2, 4, 5 and 8.
Classification of 57880
By Arithmetic functions
 Arithmetic
 Abundant
Expressible via specific sums
 Polite
Base conversion (57880)
Base  System  Value 

2  Binary  1110001000011000 
3  Ternary  2221101201 
4  Quaternary  32020120 
5  Quinary  3323010 
6  Senary  1123544 
8  Octal  161030 
10  Decimal  57880 
12  Duodecimal  295b4 
16  Hexadecimal  e218 
20  Vigesimal  74e0 
36  Base36  18ns 
Basic calculations (n = 57880)
Multiplication
n×yn×2  115760 

n×3  173640 
n×4  231520 
n×5  289400 
Division
n÷yn÷2  28940.000 

n÷3  19293.333 
n÷4  14470.000 
n÷5  11576.000 
Exponentiation
n^{y}n^{2}  3350094400 

n^{3}  193903463872000 
n^{4}  11223132488911360000 
n^{5}  649594908458189516800000 
Nth Root
^{y}√n^{2}√n  240.58262613913 

^{3}√n  38.682052273289 
^{4}√n  15.510726164146 
^{5}√n  8.9640796025595 
57880 as geometric shapes
Circle
Radius = nDiameter  115760 

Circumference  363670.76557955 
Area  10524631955.872 
Sphere
Radius = nVolume  8.1222093014119E+14 

Surface area  42098527823.489 
Circumference  363670.76557955 
Square
Length = nPerimeter  231520 

Area  3350094400 
Diagonal  81854.680990155 
Cube
Length = nSurface area  20100566400 

Volume  193903463872000 
Space diagonal  100251.10074209 
Equilateral Triangle
Length = nPerimeter  173640 

Area  1450633427.738 
Altitude  50125.550371043 
Triangular Pyramid
Length = nSurface area  5802533710.952 

Volume  22851742366575 
Height  47258.822104097 
Cryptographic Hash Functions
md5  52bf364eb3aca1329e530dd49fbb0389 

sha1  eaf2bc48d57a11f53759623eb25e6e59c89b0e2a 
sha256  fa1c882a3fad23f346b20d61c3fef256fbc6c7e7f07b6e23efce513a89701d70 
sha512  ab310cec656cf1696243e6f591320d1ee77267eaa11673996cc3b28afa85eb6d2cc4defb2d5a64950b564f605da706476b5fe517d64d993ed6a2087252246284 
ripemd160  5c2d01552b2d51bbcbbe4843a354dcc9605d3876 