Properties of the Number -20264

Twenty Thousand Two Hundred Sixty-Four

Basics

Value: -20265 → -20264 → -20263

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

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

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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

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

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

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

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