Properties of the Number 20388

Twenty Thousand Three Hundred Eighty-Eight

Basics

Value: 20387 → 20388 → 20389

Parity: even

Prime: No

Previous Prime: 20369

Next Prime: 20389

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 1699

Divisors: 1, 2, 3, 4, 6, 12, 1699, 3398, 5097, 6796

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111110100100

Octal: 47644

Duodecimal: B970

Hexadecimal: 4fa4

Square: 415670544

Square Root: 142.78655398881227

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 compositions of the integer n in which the first part is >= the other parts. A79500

Number of balanced ordered trees with n nodes. A7059

The number of rectangles (orthogonal or not) with corners on an n X n grid of points. A85582

Number of integer partitions of n with more than one non-mode. A363124

G.f. satisfies A(x) = 1 + x·A(x) / (1 + x·A(x))⁴. A365087

Expansion of 1 / (1 - ∑_k>=1 k^k-2 * x^k ). A277611

The number of solutions to φ(x) = φ(x+1) below 10ⁿ, where φ(x) is the Euler totient function. A300285

Bisection of A007059. A66351

G.f. satisfies: A(x - A(x) + A(x)²) = -x⁴. A291189

Absolute multiplicative persistence: a(n) is the least number with multiplicative persistence n for some base b > 1. A330152