Properties of the Number 71920

Seventy-One Thousand Nine Hundred Twenty

Basics

Value: 71919 → 71920 → 71921

Parity: even

Prime: No

Previous Prime: 71917

Next Prime: 71933

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 5 × 29 × 31

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 29, 31

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001100011110000

Octal: 214360

Duodecimal: 35754

Hexadecimal: 118f0

Square: 5172486400

Square Root: 268.17904466978774

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

a(n) = 2·binomial(n,4). A34827

Number of ways to change three non-identical letters in the word aabbccdd..., where there are n types of letters. A102860

Truncated square pyramid numbers: a(n) = ∑_{k = n..2·n} k². A50409

Triangle T(n, k) = binomial(n·k, n-k) + binomial(n*(n-k), k), read by rows. A157114

Expansion of g.f. (1+x)²*(x²-6·x+1)/(x-1)⁴. A136264

Period (multiplicative order base 10) of the terms in A116074 and A116075. A116076

a(n) = 10·a(n-1)-24·a(n-2) for n>1, a(0)=1, a(1)=25. A81195

Difference between ceiling(e^{n/2 - 1}) (A005181) and the n-th Fibonacci number (A000045). A96766

Square array giving number of unimodal functions [n]->[m] for n>=0, m>=0, with a(0,m)=0 for all m>=0, read by antidiagonals. A71920