53820 (number)
53,820 (fiftythree thousand eight hundred twenty) is an even fivedigits composite number following 53819 and preceding 53821. In scientific notation, it is written as 5.382 × 10^{4}. The sum of its digits is 18. It has a total of 7 prime factors and 72 positive divisors. There are 12,672 positive integers (up to 53820) that are relatively prime to 53820.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 18
 Digital Root 9
Name
Short name  53 thousand 820 

Full name  fiftythree thousand eight hundred twenty 
Notation
Scientific notation  5.382 × 10^{4} 

Engineering notation  53.82 × 10^{3} 
Prime Factorization of 53820
Prime Factorization 2^{2} × 3^{2} × 5 × 13 × 23
Composite numberω(n)  Distinct Factors  5  Total number of distinct prime factors 

Ω(n)  Total Factors  7  Total number of prime factors 
rad(n)  Radical  8970  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 53,820 is 2^{2} × 3^{2} × 5 × 13 × 23. Since it has a total of 7 prime factors, 53,820 is a composite number.
Divisors of 53820
72 divisors
τ(n)  Total Divisors  72  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  183456  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  129636  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  2548  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  231.99137915017  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  21.122448979592  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 53,820 can be divided by 72 positive divisors (out of which 48 are even, and 24 are odd). The sum of these divisors (counting 53,820) is 183,456, the average is 2,548.
Other Arithmetic Functions (n = 53820)
φ(n)  Euler Totient  12672  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  132  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 5481  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 12,672 positive integers (less than 53,820) that are coprime with 53,820. And there are approximately 5,481 prime numbers less than or equal to 53,820.
Divisibility of 53820
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  0  0  4  4  0 
The number 53,820 is divisible by 2, 3, 4, 5, 6 and 9.
Classification of 53820
By Arithmetic functions
 Arithmetic
 Abundant
Expressible via specific sums
 Polite
 Practical
Base conversion (53820)
Base  System  Value 

2  Binary  1101001000111100 
3  Ternary  2201211100 
4  Quaternary  31020330 
5  Quinary  3210240 
6  Senary  1053100 
8  Octal  151074 
10  Decimal  53820 
12  Duodecimal  27190 
16  Hexadecimal  d23c 
20  Vigesimal  6eb0 
36  Base36  15j0 
Basic calculations (n = 53820)
Multiplication
n×yn×2  107640 

n×3  161460 
n×4  215280 
n×5  269100 
Division
n÷yn÷2  26910.000 

n÷3  17940.000 
n÷4  13455.000 
n÷5  10764.000 
Exponentiation
n^{y}n^{2}  2896592400 

n^{3}  155894602968000 
n^{4}  8390247531737760000 
n^{5}  451563122158126243200000 
Nth Root
^{y}√n^{2}√n  231.99137915017 

^{3}√n  37.755587378167 
^{4}√n  15.231263215839 
^{5}√n  8.834637587645 
53820 as geometric shapes
Circle
Radius = nDiameter  107640 

Circumference  338161.03323241 
Area  9099913404.284 
Sphere
Radius = nVolume  6.5300978589142E+14 

Surface area  36399653617.136 
Circumference  338161.03323241 
Square
Length = nPerimeter  215280 

Area  2896592400 
Diagonal  76112.97392692 
Cube
Length = nSurface area  17379554400 

Volume  155894602968000 
Space diagonal  93218.974463357 
Equilateral Triangle
Length = nPerimeter  161460 

Area  1254261301.4045 
Altitude  46609.487231678 
Triangular Pyramid
Length = nSurface area  5017045205.6179 

Volume  18372355151510 
Height  43943.84598553 
Cryptographic Hash Functions
md5  2265b639738f080936543a85cc1784d8 

sha1  d7fb265577a48fc5ee450614a48f2ec85754bc49 
sha256  37f9a055895ddb24ad075bcb9a6e8d6e8c567528d81a321977a41a1914446635 
sha512  5eae08554fd90b0fe218c1a69c3e6ae2ff6a601460dcdd16a0ab3024b70ecb2731900067d685c778306900989a44f68def3654e987dd42b898456fe54528968e 
ripemd160  d3b3c05c2d8e3a9cd7490e1f43e1161e3e5c4775 