32890 (number)
32,890 (thirtytwo thousand eight hundred ninety) is an even fivedigits composite number following 32889 and preceding 32891. In scientific notation, it is written as 3.289 × 10^{4}. The sum of its digits is 22. It has a total of 5 prime factors and 32 positive divisors. There are 10,560 positive integers (up to 32890) that are relatively prime to 32890.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 22
 Digital Root 4
Name
Short name  32 thousand 890 

Full name  thirtytwo thousand eight hundred ninety 
Notation
Scientific notation  3.289 × 10^{4} 

Engineering notation  32.89 × 10^{3} 
Prime Factorization of 32890
Prime Factorization 2 × 5 × 11 × 13 × 23
Composite numberω(n)  Distinct Factors  5  Total number of distinct prime factors 

Ω(n)  Total Factors  5  Total number of prime factors 
rad(n)  Radical  32890  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  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 32,890 is 2 × 5 × 11 × 13 × 23. Since it has a total of 5 prime factors, 32,890 is a composite number.
Divisors of 32890
32 divisors
τ(n)  Total Divisors  32  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  72576  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  39686  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  2268  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  181.35600348486  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  14.50176366843  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 32,890 can be divided by 32 positive divisors (out of which 16 are even, and 16 are odd). The sum of these divisors (counting 32,890) is 72,576, the average is 2,268.
Other Arithmetic Functions (n = 32890)
φ(n)  Euler Totient  10560  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  660  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 3527  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 10,560 positive integers (less than 32,890) that are coprime with 32,890. And there are approximately 3,527 prime numbers less than or equal to 32,890.
Divisibility of 32890
m  2  3  4  5  6  7  8  9 

n mod m  0  1  2  0  4  4  2  4 
The number 32,890 is divisible by 2 and 5.
Classification of 32890
By Arithmetic functions
 Arithmetic
 Abundant
Expressible via specific sums
 Polite
By Shape (2D, noncentered)
 Heptagonal
By Powers
 Square Free
Base conversion (32890)
Base  System  Value 

2  Binary  1000000001111010 
3  Ternary  1200010011 
4  Quaternary  20001322 
5  Quinary  2023030 
6  Senary  412134 
8  Octal  100172 
10  Decimal  32890 
12  Duodecimal  1704a 
16  Hexadecimal  807a 
20  Vigesimal  424a 
36  Base36  pdm 
Basic calculations (n = 32890)
Multiplication
n×yn×2  65780 

n×3  98670 
n×4  131560 
n×5  164450 
Division
n÷yn÷2  16445.000 

n÷3  10963.333 
n÷4  8222.500 
n÷5  6578.000 
Exponentiation
n^{y}n^{2}  1081752100 

n^{3}  35578826569000 
n^{4}  1170187605854410000 
n^{5}  38487470356551544900000 
Nth Root
^{y}√n^{2}√n  181.35600348486 

^{3}√n  32.039664356941 
^{4}√n  13.466848312982 
^{5}√n  8.0059481794612 
32890 as geometric shapes
Circle
Radius = nDiameter  65780 

Circumference  206653.96475314 
Area  3398424450.3653 
Sphere
Radius = nVolume  1.4903224023002E+14 

Surface area  13593697801.461 
Circumference  206653.96475314 
Square
Length = nPerimeter  131560 

Area  1081752100 
Diagonal  46513.484066451 
Cube
Length = nSurface area  6490512600 

Volume  35578826569000 
Space diagonal  56967.15106094 
Equilateral Triangle
Length = nPerimeter  98670 

Area  468412399.59858 
Altitude  28483.57553047 
Triangular Pyramid
Length = nSurface area  1873649598.3943 

Volume  4193004922266.7 
Height  26854.572546713 
Cryptographic Hash Functions
md5  b44bb13a1a7c7fe75b44a21c85b4a035 

sha1  d978cddee88901645af5c696345651884818cbf0 
sha256  0dbf7dbfad73b0386a5a1cf3ea210d6a7f9d9e68df19dbbaa5334152bbb6efce 
sha512  a6605c96877258986c6aac1d23f3b95d09f97ae241cf330f893164bbb6fcb0d7f54f9aa971e8cf6c837ce554a007b4d2a3d40157f4756b0c6dd96ca32c65f431 
ripemd160  5ace20114c716e63c1c04a1c262b4ae160b81fdb 