55440 (number)
55,440 (fiftyfive thousand four hundred forty) is an even fivedigits composite number following 55439 and preceding 55441. In scientific notation, it is written as 5.544 × 10^{4}. The sum of its digits is 18. It has a total of 9 prime factors and 120 positive divisors. There are 11,520 positive integers (up to 55440) that are relatively prime to 55440.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 18
 Digital Root 9
Name
Short name  55 thousand 440 

Full name  fiftyfive thousand four hundred forty 
Notation
Scientific notation  5.544 × 10^{4} 

Engineering notation  55.44 × 10^{3} 
Prime Factorization of 55440
Prime Factorization 2^{4} × 3^{2} × 5 × 7 × 11
Composite numberω(n)  Distinct Factors  5  Total number of distinct prime factors 

Ω(n)  Total Factors  9  Total number of prime factors 
rad(n)  Radical  2310  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 55,440 is 2^{4} × 3^{2} × 5 × 7 × 11. Since it has a total of 9 prime factors, 55,440 is a composite number.
Divisors of 55440
120 divisors
τ(n)  Total Divisors  120  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  232128  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  176688  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  1934.4  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  235.45700244418  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  28.660049627792  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 55,440 can be divided by 120 positive divisors (out of which 96 are even, and 24 are odd). The sum of these divisors (counting 55,440) is 232,128, the average is 193,4.4.
Other Arithmetic Functions (n = 55440)
φ(n)  Euler Totient  11520  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  120  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 5629  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 11,520 positive integers (less than 55,440) that are coprime with 55,440. And there are approximately 5,629 prime numbers less than or equal to 55,440.
Divisibility of 55440
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  0  0  0  0  0 
The number 55,440 is divisible by 2, 3, 4, 5, 6, 7, 8 and 9.
Classification of 55440
By Arithmetic functions
 Refactorable
 Abundant
Expressible via specific sums
 Polite
 Practical
Base conversion (55440)
Base  System  Value 

2  Binary  1101100010010000 
3  Ternary  2211001100 
4  Quaternary  31202100 
5  Quinary  3233230 
6  Senary  1104400 
8  Octal  154220 
10  Decimal  55440 
12  Duodecimal  28100 
16  Hexadecimal  d890 
20  Vigesimal  6ic0 
36  Base36  16s0 
Basic calculations (n = 55440)
Multiplication
n×yn×2  110880 

n×3  166320 
n×4  221760 
n×5  277200 
Division
n÷yn÷2  27720.000 

n÷3  18480.000 
n÷4  13860.000 
n÷5  11088.000 
Exponentiation
n^{y}n^{2}  3073593600 

n^{3}  170400029184000 
n^{4}  9446977617960960000 
n^{5}  523740439139755622400000 
Nth Root
^{y}√n^{2}√n  235.45700244418 

^{3}√n  38.130667436607 
^{4}√n  15.3446082532 
^{5}√n  8.8871936677601 
55440 as geometric shapes
Circle
Radius = nDiameter  110880 

Circumference  348339.79343004 
Area  9655979073.8806 
Sphere
Radius = nVolume  7.1376997314125E+14 

Surface area  38623916295.522 
Circumference  348339.79343004 
Square
Length = nPerimeter  221760 

Area  3073593600 
Diagonal  78403.999897964 
Cube
Length = nSurface area  18441561600 

Volume  170400029184000 
Space diagonal  96024.896771619 
Equilateral Triangle
Length = nPerimeter  166320 

Area  1330905069.2546 
Altitude  48012.448385809 
Triangular Pyramid
Length = nSurface area  5323620277.0185 

Volume  20081836025065 
Height  45266.570446633 
Cryptographic Hash Functions
md5  c766c75666111cab4aa6bb75a5424bc0 

sha1  69da542390654fa64376369708379c63338def5b 
sha256  3590b02c6a50de4d6ff9324ee66956fccaed07718e15c1125551b2f021444ae9 
sha512  57ee982d323527a74a7122132817804ce628bd4b27cfe5105c698a94dadba55bbb9278e9c995cb6bde068d3a6c344d62b80488a48ead136e6d1b01e943ba27a5 
ripemd160  2de75078aca713edc51e93e09101ab516469a9e6 