Properties of the Number 66924

Sixty-Six Thousand Nine Hundred Twenty-Four

Basics

Value: 66923 → 66924 → 66925

Parity: even

Prime: No

Previous Prime: 66923

Next Prime: 66931

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 11 × 13 ²

Divisors: 1, 2, 3, 4, 6, 9, 11, 12, 13, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000010101101100

Octal: 202554

Duodecimal: 32890

Hexadecimal: 1056c

Square: 4478821776

Square Root: 258.6967336477212

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

T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 000 and 111 in rows, columns and nw-to-se diagonals. A202647

Number of set partitions of {1,...,n} with largest set of size 8. A229250

Decimal part of cube root of a(n) starts with 6: first term of runs. A34132

Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= (n-4)/2. A48070

Number of (n+2)X4 binary arrays avoiding patterns 000 and 111 in rows, columns and nw-to-se diagonals. A202641

Number of (n+2)X8 binary arrays avoiding patterns 000 and 111 in rows, columns and nw-to-se diagonals. A202645

Expansion of 1/(∑_k>=0 x^k³)³. A363777

T(n,k) = number of length-n 0..k arrays connected end-around, with no sequence of L<n elements immediately followed by itself (periodic "squarefree"), and new values introduced in order 0..k. A215401

Nonprime numbers n such that the GCD of n and the Chowla's function of n (A048050) is >= n/3. A66924