Properties of the Number 65240

Sixty-Five Thousand Two Hundred Forty

Basics

Value: 65239 → 65240 → 65241

Parity: even

Prime: No

Previous Prime: 65239

Next Prime: 65257

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 5 × 7 × 233

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 20, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111011011000

Octal: 177330

Duodecimal: 31908

Hexadecimal: fed8

Square: 4256257600

Square Root: 255.42122073155943

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 ways to place 3 nonattacking kings on an n X n board. A61996

Triangle T(m,k) read by rows, where T(m,k) is the number of ways in which 1<=k<=m positions can be picked in an m X m square array such that all positions are mutually isolated. Two positions (s,t),(u,v) are considered as isolated from each other if min(abs(s-u),abs(t-v))>1. A98487

Nonunitary weird numbers: numbers that are nonunitary abundant but not nonunitary pseudoperfect. A327948

Indices k such that 4 plus the k-th triangular number is a perfect square. A154139

Number of partitions of n unlabeled objects of 7 colors. A270240

Number of partitions of n into parts not of the form 25k, 25k+6 or 25k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 11 are greater than 1. A36005

G.f. = { 1+sum(4·n*qⁿ, n=1..infinity)} / { θ series for square lattice }. A79902

a(1) = 2, a(n) = a(n-1) + 3*(a(n-1)-floor(a(n-1)^1/3)³). A96295

Number of winning length n strings with a 7-symbol alphabet in "same game". A65240

3rd diagonal of triangle in A255494. A255496