Properties of the Number 66752

Sixty-Six Thousand Seven Hundred Fifty-Two

Basics

Value: 66751 → 66752 → 66753

Parity: even

Prime: No

Previous Prime: 66751

Next Prime: 66763

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁶ × 7 × 149

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000010011000000

Octal: 202300

Duodecimal: 32768

Hexadecimal: 104c0

Square: 4455829504

Square Root: 258.3640841912823

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

Integers that are Rhonda numbers to base 12. A100971

Number of even permutations of length n with no fixed points. A3221

Triangle read by rows: T(n,k) is the number of even permutations (of an n-set) with exactly k fixed points. A145224

Number of Ramanujan primes R_k such that 2^n-1 < R_k <= 2ⁿ. A190501

Number of n-permutations having all cycles of odd length and at most one fixed point. A214849

Number of derangements on n elements with an odd number of cycles. A216779

Triangle read by rows: T(n,k) is the number of permutations in symmetric group S_n 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

Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 9 (most significant digit on right). A61962

Number of (3+2) X (n+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 2 3 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 2 3 6 or 7. A252535

Triangle T(n, k) for the number of permutations of symmetric group S_n with an odd number of non-fixed point cycles, without k <= n particular fixed points. A374420