Properties of the Number 18968

Eighteen Thousand Nine Hundred Sixty-Eight

Basics

Value: 18967 → 18968 → 18969

Parity: even

Prime: No

Previous Prime: 18959

Next Prime: 18973

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 2371

Divisors: 1, 2, 4, 8, 2371, 4742, 9484, 18968

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101000011000

Octal: 45030

Duodecimal: AB88

Hexadecimal: 4a18

Square: 359785024

Square Root: 137.72436240549456

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 such that the number of parts and the greatest part are coprime. A200750

Numbers k such that the k-th composition in standard order is an alternating permutation of {1..k} for some k. A349051

Triangle, read by rows, that transforms diagonals in the table of coefficients of successive iterations of x*(1+x)² (cf. A166888). A166890

a(n) = the smallest positive integer that, when written in binary, contains both binary n and the binary representation of the n-th Fibonacci number as substrings. A165822

Expansion of g.f. A(x) satisfying A(x) = A( x³ + 3·x²*A(x)² )^1/3, with A(0)=0, A'(0)=1. A370440

Column 1 of triangle A166890. A166891

Number of partitions of n² into distinct squares > 1. A298642

Expansion of ∏_m>=1 (1+m*(m+1)*q^m). A92485

Expansion of ∏_k>=1 1/((1 - x^k)*(1 - x^3·k)). A318026

Number of compositions of n into parts with distinct multiplicities and with exactly eight parts. A321778