Properties of the Number 67705

Sixty-Seven Thousand Seven Hundred Five

Basics

Value: 67704 → 67705 → 67706

Parity: odd

Prime: No

Previous Prime: 67699

Next Prime: 67709

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 11 × 1231

Divisors: 1, 5, 11, 55, 1231, 6155, 13541, 67705

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100001111001

Octal: 204171

Duodecimal: 33221

Hexadecimal: 10879

Square: 4583967025

Square Root: 260.20184472828015

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

G.f.: ∑_n>=0 xⁿ * ∑_k=0..n binomial(n,k)² * x^k*(1-x)^n-k. A217615

a(n) is the smallest number which can be represented as the sum of four distinct nonzero n-gonal numbers in exactly n ways, or -1 if no such number exists. A374274

a(n) = 11·n² + 22·n. A67705