Properties of the Number 56970

Fifty-Six Thousand Nine Hundred Seventy

Basics

Value: 56969 → 56970 → 56971

Parity: even

Prime: No

Previous Prime: 56963

Next Prime: 56983

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 5 × 211

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111010001010

Octal: 157212

Duodecimal: 28B76

Hexadecimal: de8a

Square: 3245580900

Square Root: 238.68389137099302

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

a(n) = (2·n-1)*(5·n²-5·n+2)/2. A63495

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X3 or 3X2 subblock having no more than three equal edges, and new values 0..2 introduced in row major order. A206761

Numbers equal to a permutation (or rearrangement) of the digits of the sum of their proper divisors. Rearrangements which cause leading zeros are excluded. A85844

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 1 + 3·x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >= 3, where u = p(2,x), v = 1 - x². A368150

Number of binary strings with n 1's and n 0's avoiding zigzags, that is avoiding the substrings 101 and 010. A78678

Number of nonnegative solutions of x1² + x2² + ... + x10² = n. A45852

Sum of the middle parts in the partitions of 4n-1 into 3 parts. A240707

Number of (n+1) X 2 0..2 arrays with every 2 X 3 or 3 X 2 subblock having no more than three equal edges, and new values 0..2 introduced in row major order. A206754

Number of (n+1)X6 0..2 arrays with every 2X3 or 3X2 subblock having no more than three equal edges, and new values 0..2 introduced in row major order. A206758

Number of partitions of n into distinct parts congruent to 2, 4 or 5 mod 6. A56970