21240 (number)
21,240 (twentyone thousand two hundred forty) is an even fivedigits composite number following 21239 and preceding 21241. In scientific notation, it is written as 2.124 × 10^{4}. The sum of its digits is 9. It has a total of 7 prime factors and 48 positive divisors. There are 5,568 positive integers (up to 21240) that are relatively prime to 21240.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 9
 Digital Root 9
Name
Short name  21 thousand 240 

Full name  twentyone thousand two hundred forty 
Notation
Scientific notation  2.124 × 10^{4} 

Engineering notation  21.24 × 10^{3} 
Prime Factorization of 21240
Prime Factorization 2^{3} × 3^{2} × 5 × 59
Composite numberω(n)  Distinct Factors  4  Total number of distinct prime factors 

Ω(n)  Total Factors  7  Total number of prime factors 
rad(n)  Radical  1770  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 21,240 is 2^{3} × 3^{2} × 5 × 59. Since it has a total of 7 prime factors, 21,240 is a composite number.
Divisors of 21240
48 divisors
τ(n)  Total Divisors  48  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  70200  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  48960  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  1462.5  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  145.73949361789  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  14.523076923077  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 21,240 can be divided by 48 positive divisors (out of which 36 are even, and 12 are odd). The sum of these divisors (counting 21,240) is 70,200, the average is 146,2.5.
Other Arithmetic Functions (n = 21240)
φ(n)  Euler Totient  5568  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  348  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 2390  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 5,568 positive integers (less than 21,240) that are coprime with 21,240. And there are approximately 2,390 prime numbers less than or equal to 21,240.
Divisibility of 21240
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  0  0  2  0  0 
The number 21,240 is divisible by 2, 3, 4, 5, 6, 8 and 9.
Classification of 21240
By Arithmetic functions
 Abundant
Expressible via specific sums
 Polite
 Practical
Base conversion (21240)
Base  System  Value 

2  Binary  101001011111000 
3  Ternary  1002010200 
4  Quaternary  11023320 
5  Quinary  1134430 
6  Senary  242200 
8  Octal  51370 
10  Decimal  21240 
12  Duodecimal  10360 
16  Hexadecimal  52f8 
20  Vigesimal  2d20 
36  Base36  ge0 
Basic calculations (n = 21240)
Multiplication
n×yn×2  42480 

n×3  63720 
n×4  84960 
n×5  106200 
Division
n÷yn÷2  10620.000 

n÷3  7080.000 
n÷4  5310.000 
n÷5  4248.000 
Exponentiation
n^{y}n^{2}  451137600 

n^{3}  9582162624000 
n^{4}  203525134133760000 
n^{5}  4322873849001062400000 
Nth Root
^{y}√n^{2}√n  145.73949361789 

^{3}√n  27.693945772047 
^{4}√n  12.07226132992 
^{5}√n  7.3355199487258 
21240 as geometric shapes
Circle
Radius = nDiameter  42480 

Circumference  133454.85592449 
Area  1417290569.9181 
Sphere
Radius = nVolume  40137668940081 

Surface area  5669162279.6725 
Circumference  133454.85592449 
Square
Length = nPerimeter  84960 

Area  451137600 
Diagonal  30037.896064805 
Cube
Length = nSurface area  2706825600 

Volume  9582162624000 
Space diagonal  36788.759152763 
Equilateral Triangle
Length = nPerimeter  63720 

Area  195348311.10117 
Altitude  18394.379576381 
Triangular Pyramid
Length = nSurface area  781393244.40469 

Volume  1129268694977.1 
Height  17342.387378905 
Cryptographic Hash Functions
md5  fbff791ef0770855e599ea6f87d41653 

sha1  41513d12b096588f0a942bc0e5015cc85be7ecd0 
sha256  374488f43bc517559717ca9206a7d5d8d84246cf50b900e065e4afc6619c7e31 
sha512  70f927339328fe2b911bd9adb2c4423a8d4c543e864ff86e593ad3620940b84ded5b2c900f0afac69bd30359696609fdc2dfe9bb630aeb404483b5e85f71e9f0 
ripemd160  c7294ab51f69591aadab162f73575df11a1e678f 