45480 (number)
45,480 (fortyfive thousand four hundred eighty) is an even fivedigits composite number following 45479 and preceding 45481. In scientific notation, it is written as 4.548 × 10^{4}. The sum of its digits is 21. It has a total of 6 prime factors and 32 positive divisors. There are 12,096 positive integers (up to 45480) that are relatively prime to 45480.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 21
 Digital Root 3
Name
Short name  45 thousand 480 

Full name  fortyfive thousand four hundred eighty 
Notation
Scientific notation  4.548 × 10^{4} 

Engineering notation  45.48 × 10^{3} 
Prime Factorization of 45480
Prime Factorization 2^{3} × 3 × 5 × 379
Composite numberω(n)  Distinct Factors  4  Total number of distinct prime factors 

Ω(n)  Total Factors  6  Total number of prime factors 
rad(n)  Radical  11370  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 45,480 is 2^{3} × 3 × 5 × 379. Since it has a total of 6 prime factors, 45,480 is a composite number.
Divisors of 45480
32 divisors
τ(n)  Total Divisors  32  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  136800  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  91320  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  4275  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  213.26040420106  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  10.638596491228  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 45,480 can be divided by 32 positive divisors (out of which 24 are even, and 8 are odd). The sum of these divisors (counting 45,480) is 136,800, the average is 4,275.
Other Arithmetic Functions (n = 45480)
φ(n)  Euler Totient  12096  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  756  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 4712  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 12,096 positive integers (less than 45,480) that are coprime with 45,480. And there are approximately 4,712 prime numbers less than or equal to 45,480.
Divisibility of 45480
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  0  0  1  0  3 
The number 45,480 is divisible by 2, 3, 4, 5, 6 and 8.
Classification of 45480
By Arithmetic functions
 Arithmetic
 Abundant
Expressible via specific sums
 Polite
Base conversion (45480)
Base  System  Value 

2  Binary  1011000110101000 
3  Ternary  2022101110 
4  Quaternary  23012220 
5  Quinary  2423410 
6  Senary  550320 
8  Octal  130650 
10  Decimal  45480 
12  Duodecimal  223a0 
16  Hexadecimal  b1a8 
20  Vigesimal  5de0 
36  Base36  z3c 
Basic calculations (n = 45480)
Multiplication
n×yn×2  90960 

n×3  136440 
n×4  181920 
n×5  227400 
Division
n÷yn÷2  22740.000 

n÷3  15160.000 
n÷4  11370.000 
n÷5  9096.000 
Exponentiation
n^{y}n^{2}  2068430400 

n^{3}  94072214592000 
n^{4}  4278404319644160000 
n^{5}  194581828457416396800000 
Nth Root
^{y}√n^{2}√n  213.26040420106 

^{3}√n  35.69495334668 
^{4}√n  14.603438095225 
^{5}√n  8.5420889837897 
45480 as geometric shapes
Circle
Radius = nDiameter  90960 

Circumference  285759.26777053 
Area  6498165749.1018 
Sphere
Radius = nVolume  3.9404877102553E+14 

Surface area  25992662996.407 
Circumference  285759.26777053 
Square
Length = nPerimeter  181920 

Area  2068430400 
Diagonal  64318.432816728 
Cube
Length = nSurface area  12410582400 

Volume  94072214592000 
Space diagonal  78773.670728233 
Equilateral Triangle
Length = nPerimeter  136440 

Area  895656636.18 
Altitude  39386.835364116 
Triangular Pyramid
Length = nSurface area  3582626544.72 

Volume  11086516809873 
Height  37134.264500593 
Cryptographic Hash Functions
md5  6d6ab8b0d3dfb637e7ce3d5841be0115 

sha1  eb734d20f1cfeb1667c99e2588acfe9185d9c9fd 
sha256  c4fec8cf5cfca7c07cf8707f40fd4be70c09802aacf4f6c82fb0a5466e6cd963 
sha512  9564984caaa7d40a3453735a7d7f089ded028cb1bb4a4c0d30623703e801e7b8f7cf87308321c9fdbb870ce2d5c1703b4dfbd7ff464b8ef3c1aeb607311f04d9 
ripemd160  0a11ade914df9eb40ca9f05cdec38f8251854b64 