20543 (number)
20,543 (twenty thousand five hundred fortythree) is an odd fivedigits prime number following 20542 and preceding 20544. In scientific notation, it is written as 2.0543 × 10^{4}. The sum of its digits is 14. It has a total of 1 prime factor and 2 positive divisors. There are 20,542 positive integers (up to 20543) that are relatively prime to 20543.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 14
 Digital Root 5
Name
Short name  20 thousand 543 

Full name  twenty thousand five hundred fortythree 
Notation
Scientific notation  2.0543 × 10^{4} 

Engineering notation  20.543 × 10^{3} 
Prime Factorization of 20543
Prime Factorization 20543
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  20543  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  9.9302755292925  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 20,543 is 20543. Since it has a total of 1 prime factor, 20,543 is a prime number.
Divisors of 20543
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  20544  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  10272  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  143.32829448507  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999026479751  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 20,543 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 20,543) is 20,544, the average is 10,272.
Other Arithmetic Functions (n = 20543)
φ(n)  Euler Totient  20542  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  20542  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 2320  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 20,542 positive integers (less than 20,543) that are coprime with 20,543. And there are approximately 2,320 prime numbers less than or equal to 20,543.
Divisibility of 20543
m  2  3  4  5  6  7  8  9 

n mod m  1  2  3  3  5  5  7  5 
20,543 is not divisible by any number less than or equal to 9.
Classification of 20543
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
 Nonhypotenuse
By Powers
 Prime Power
 Square Free
Base conversion (20543)
Base  System  Value 

2  Binary  101000000111111 
3  Ternary  1001011212 
4  Quaternary  11000333 
5  Quinary  1124133 
6  Senary  235035 
8  Octal  50077 
10  Decimal  20543 
12  Duodecimal  ba7b 
16  Hexadecimal  503f 
20  Vigesimal  2b73 
36  Base36  fun 
Basic calculations (n = 20543)
Multiplication
n×yn×2  41086 

n×3  61629 
n×4  82172 
n×5  102715 
Division
n÷yn÷2  10271.500 

n÷3  6847.666 
n÷4  5135.750 
n÷5  4108.600 
Exponentiation
n^{y}n^{2}  422014849 

n^{3}  8669451043007 
n^{4}  178096532776492801 
n^{5}  3658637072827491610943 
Nth Root
^{y}√n^{2}√n  143.32829448507 

^{3}√n  27.387640722154 
^{4}√n  11.971979555824 
^{5}√n  7.2867316041133 
20543 as geometric shapes
Circle
Radius = nDiameter  41086 

Circumference  129075.47576539 
Area  1325798749.3242 
Sphere
Radius = nVolume  36314511609823 

Surface area  5303194997.2968 
Circumference  129075.47576539 
Square
Length = nPerimeter  82172 

Area  422014849 
Diagonal  29052.18921183 
Cube
Length = nSurface area  2532089094 

Volume  8669451043007 
Space diagonal  35581.519739887 
Equilateral Triangle
Length = nPerimeter  61629 

Area  182737790.00413 
Altitude  17790.759869944 
Triangular Pyramid
Length = nSurface area  730951160.01651 

Volume  1021704603612.5 
Height  16773.289261998 
Cryptographic Hash Functions
md5  ddbbf407617f33ad651aa3b259ea88e9 

sha1  f7275ff7221dd949be4ff917d859aab8ea6cdf25 
sha256  d6051cccc284524bfe63c6c37ad06b0eab4ba47043aa92eed43aea7f34edcad9 
sha512  36414cafaa28830f6518f5ef3c1f98c4abec13f79dc8332a55c53bceb7d9a9d04293de2ae02d29bcc6f851c9c16e8c413f99dab99cd7dae3f996b83575daa3ab 
ripemd160  0227bdf1bc4a53c697dea0f8b653db5c15e8b389 