Properties of the Number 20392

Twenty Thousand Three Hundred Ninety-Two

Basics

Value: 20391 → 20392 → 20393

Parity: even

Prime: No

Previous Prime: 20389

Next Prime: 20393

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 2549

Divisors: 1, 2, 4, 8, 2549, 5098, 10196, 20392

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100111110101000

Octal: 47650

Duodecimal: B974

Hexadecimal: 4fa8

Square: 415833664

Square Root: 142.80056022299073

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

One half of the number of non-self-conjugate balanced partitions. A67772

Number of non-equivalent (mod D₃) ways to choose three points in an n X n X n triangular grid so that they do not form a 2 X 2 X 2 subtriangle. A237530

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = (composite numbers). A24471

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Lucas numbers), t = (composite numbers). A25091

Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 71. A31569

Number of permutations of 1..n with all differences of elements separated by distances 1 through 7 being respectively unique. A170813

Every 8th term of A083948 where the self-convolution 8th power is congruent modulo 16 to A083948, which consists entirely of numbers 1 through 8. A110636

Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 4, 6 or 7 king-move adjacent elements, with upper left element zero. A299183

Number of (undirected) paths in the grid graph P₄ X P_n. A358800

Numbers k such that the continued fraction for sqrt(k) has period 53. A20392