Properties of the Number 20532

Twenty Thousand Five Hundred Thirty-Two

Basics

Value: 20531 → 20532 → 20533

Parity: even

Prime: No

Previous Prime: 20521

Next Prime: 20533

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 29 × 59

Divisors: 1, 2, 3, 4, 6, 12, 29, 58, 59, 87

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000000110100

Octal: 50064

Duodecimal: BA70

Hexadecimal: 5034

Square: 421563024

Square Root: 143.28991590478375

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

Expansion of g.f.: (1-3·x*C)/(1-4·x*C) where C = (1 - sqrt(1-4·x))/(2·x) = g.f. for Catalan numbers A000108. A76025

Number of ways of getting 5 of a kind, straight flush, 4 of a kind, full house, other flush, other straight, 3 of a kind, 2 pair, a pair or no pair in 5-card poker when joker is wild. A14404

Sum of distinct terms of A002674: a(0) = 0, a(2n) = A255411(A153880(a(n))), a(2n+1) = 1+A255411(A153880(a(n))). A275959

Number of ways of getting 5 of a kind, a royal flush, other straight flush, 4 of a kind, full house, other flush, other straight, 3 of a kind, 2 pair, a pair or no pair in 5-card poker when joker is wild. A14357

Number of ways of getting 5 of a kind, royal flush, other straight flush, 4 of a kind, full house, other flush, other straight, 3 of a kind, 2 pair, a pair or no pair in 5-card poker when joker is wild. A53080

Number of ways of getting no pair, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, straight flush or 5 of a kind in 5-card poker when joker is wild. A53081

Number of ways of getting no pair, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, other straight flush, royal flush or 5 of a kind in 5-card poker when joker is wild. A53082

Square array read by antidiagonals: T(n,k)=(T(n,k-1)*n²-Catalan(k-1))/(n-1) with a(n,1)=1 and a(1,k)=Catalan(k) where Catalan(k)=C(2k,k)/(k+1)=A000108(k). A67345

A number triangle based on the Catalan numbers. A110488

Number of ways of getting no pair, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, other straight flush, a royal flush, or 5 of a kind in 5-card poker when joker is wild. A14356