Properties of the Number 20264

Twenty Thousand Two Hundred Sixty-Four

Basics

Value: 20263 → 20264 → 20265

Parity: even

Prime: No

Previous Prime: 20261

Next Prime: 20269

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 17 × 149

Divisors: 1, 2, 4, 8, 17, 34, 68, 136, 149, 298

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100111100101000

Octal: 47450

Duodecimal: B888

Hexadecimal: 4f28

Square: 410629696

Square Root: 142.35167719419397

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

Number of partitions of n into parts not congruent to 0, 2, 12, 14, 16, 18, 20, 30 (mod 32). A115671

Expansion of q·f(-q,-q⁷)² / (φ(q²) * ψ(-q)) in powers of q where φ(), ψ(), f(,) are Ramanujan θ functions. A224216

a(n) = ∑_{k=0..floor(4·n/7)} binomial(k+3,4·n-7·k). A390039

Partitions of 2·n + 1 into parts not congruent to 0, +-4, +-6, +-10, 16 (mod 32). A208851

Numbers m with deficiency 28: σ(m) - 2·m = -28. A392382

Convolution of Catalan numbers {1,2,5,14,...} with A002802 (5-fold convoluted central binomial coefficients). A38836

Partitions of 2·n into parts not congruent to 0, +-2, +-12, +-14, 16 (mod 32). A185083

Partitions of n into parts not congruent to 0, +-4, +-6, +-10, 16 (mod 32). A208856

Riordan array (1/((1-4·x)*c(x)),x·c(x)/sqrt(1-4·x)), c(x) the g.f. of A000108. A113955

Expansion of f(-q³, -q⁵)² / (ψ(-q) * φ(q²)) in powers of q where φ(), ψ(), f() are Ramanujan θ functions. A245432