Properties of the Number 20539

Twenty Thousand Five Hundred Thirty-Nine

Basics

Value: 20538 → 20539 → 20540

Parity: odd

Prime: No

Previous Prime: 20533

Next Prime: 20543

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 19 × 23 × 47

Divisors: 1, 19, 23, 47, 437, 893, 1081, 20539

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101000000111011

Octal: 50073

Duodecimal: BA77

Hexadecimal: 503b

Square: 421850521

Square Root: 143.3143398268296

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Numbers n such that primorial(n)/2 + 8 is prime. A139441

Expansion of ∏_k>=1 1/(1 - x^k)^p(k-p(k-1)), where p(k) = number of partitions of k (A000041). A304967

dot product (n,n-1,...2,1).(3,4,...,n,1,2). A26054

Numbers k such that gcd(3k,8^k+1) = 3 but k does not divide the numerator of B(2k) (the Bernoulli numbers). A70193

a(n) = n² + a(n-1), with a(1)=0. A168559

Number of partitions of n such that (number parts having multiplicity 1) is a part and (number of parts > 1) is not a part. A241513

a(0) = 0, a(1) = 1. For n >= 2, a(n) = a(n-1)/(n-1) if n-1 divides a(n-1); otherwise, a(n) = a(n-1) + a(n-2). A343376

Expansion of e.g.f. (1/x) * Series_Reversion( x / (1 + sin(x)) ). A381181

a(n) = ∑_{k=0..floor(n/3)} binomial(4·n-k+1,n-3·k). A371775

Great rhombicuboctahedron with faces of centered polygons. A193252