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Properties of the Number 66780

Sixty-Six Thousand Seven Hundred Eighty

Basics

Value: 66779 → 66780 → 66781

Parity: even

Prime: No

Previous Prime: 66763

Next Prime: 66791

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 2 × 3 2 × 5 × 7 × 53

Divisors: 1, 2, 3, 4, 5, 6, 7, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000010011011100

Octal: 202334

Duodecimal: 32790

Hexadecimal: 104dc

Square: 4459568400

Square Root: 258.41826560829634

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

Saint-Exupéry numbers: ordered products of the three sides of Pythagorean triangles. A57096
Ordered products of the sides of primitive Pythagorean triangles. A63011
Triangle read by rows: T(n,k) is the number of odd permutations (of an n-set) with exactly k fixed points. A145225
a(n) is the number of odd permutations (of an n-set) with exactly 1 fixed point. A145222
Triangle read by rows: T(n,k) is the number of permutations of [n] with k circular successions (0<=k<=n-1). A circular succession in a permutation p of [n] is either a pair p(i), p(i+1), where p(i+1)=p(i)+1 or the pair p(n), p(1) if p(1)=p(n)+1. A180188
Numbers k such that σ(k) = 3*σ(k+1). A217791
Triangle read by rows: coefficients ξ(n,k) arising from the study of completely transitive graphs on n nodes. A259971
Diagonal sums of number triangle A114709. A186940
Number of 9-regular cubic partitions of n. A335604
Triangle read by rows: T(n,k) is the number of permutations in symmetric group Sn with (n-k) fixed points and an odd number of non-fixed point cycles. Equivalent to the number of cycles of n items with cycle type defined by non-unity partitions of k <= n that contain an odd number of parts. A373418