Properties of the Number 68250

Sixty-Eight Thousand Two Hundred Fifty

Basics

Value: 68249 → 68250 → 68251

Parity: even

Prime: No

Previous Prime: 68239

Next Prime: 68261

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5 ³ × 7 × 13

Divisors: 1, 2, 3, 5, 6, 7, 10, 13, 14, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000101010011010

Octal: 205232

Duodecimal: 335B6

Hexadecimal: 10a9a

Square: 4658062500

Square Root: 261.2470095522626

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 nonisomorphic proper colorings of partition star graph using six colors. A297570

Triangle read by rows: T(n,k) = number of pairs of partitions of n that have block distance k (n >= 2, 2 <= k <= n). A193297

Number T(n,k) of derangements of [n] having exactly k peaks; triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/2)), read by rows. A303564

a(n) = binomial(n+2,2) * binomial(n+7,2). A104676

Denominator of the rationals obtained from the e.g.f. D(1,x), a Debye function. A227540

The hyper-Wiener index of the Kneser graph K(n,2) (n>=5). A228307

a(n) = n*(n+1)*(n+2)*(n+3)*(2·n+1)/12. A356251

Smallest k such that A361373(k) = n. A384442

a(n) = 2·binomial(n,2) + 3·binomial(n,3) + 4·binomial(n,4). A384852

Weight distribution of [50,21,12] code associated with Hoffman-Singleton and Higman-Sims graphs. A15064