Properties of the Number 76068

Seventy-Six Thousand Sixty-Eight

Basics

Value: 76067 → 76068 → 76069

Parity: even

Prime: No

Previous Prime: 76039

Next Prime: 76079

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 2113

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 2113

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010100100100100

Octal: 224444

Duodecimal: 38030

Hexadecimal: 12924

Square: 5786340624

Square Root: 275.80427842946887

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) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 1 and no column sum 1. A256029

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. A299052

Number of orbits of size n in vertex graph of Lucas cube Lambda_n. A250114

Number of (n+2)X(2+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 1 and no column sum 1. A256023

Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. A299048

Number of nX7 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. A299051

Second component B of the pairs (A, B) from A389379. A389390

Solid partitions of n, distinct along rows. A2936

Smallest number that can be formed by using the nonzero digits of the numbers 1+n(n-1)/2 through n(n+1)/2. A76068