Properties of the Number 85460

Eighty-Five Thousand Four Hundred Sixty

Basics

Value: 85459 → 85460 → 85461

Parity: even

Prime: No

Previous Prime: 85453

Next Prime: 85469

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 5 × 4273

Divisors: 1, 2, 4, 5, 10, 20, 4273, 8546, 17092, 21365

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110111010100

Octal: 246724

Duodecimal: 41558

Hexadecimal: 14dd4

Square: 7303411600

Square Root: 292.33542378576016

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

Expansion of g.f. A(x) satisfying A(x)³ = A( x³/(1 - 3·x)³ ). A361763

Sum of the heights of the first peaks in all dispersed Dyck paths of length n (i.e., in Motzkin paths of length n with no (1,0)-steps at positive heights). A191307

Numbers k such that k divides the (right) concatenation of all numbers <= k written in base 12 (most significant digit on right). A61941

Numbers k for which k = φ(k') + φ(k''), where φ is the Euler totient function (A000010), k' the arithmetic derivative of k (A003415) and k'' the second arithmetic derivative of k (A068346). A352332

Expansion of g.f. A(x) satisfying A(x)³ = A( x³/(1 - 3·x)³ ) / (1 - 3·x). A361762

Primes p such that there is at least one k dividing (p-1)!-1 (p <= k <= 2p). A85460