Properties of the Number 37160

Thirty-Seven Thousand One Hundred Sixty

Basics

Value: 37159 → 37160 → 37161

Parity: even

Prime: No

Previous Prime: 37159

Next Prime: 37171

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 5 × 929

Divisors: 1, 2, 4, 5, 8, 10, 20, 40, 929, 1858

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000100101000

Octal: 110450

Duodecimal: 19608

Hexadecimal: 9128

Square: 1380865600

Square Root: 192.76929216034384

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..3 arrays with every 3X3 subblock row and column sum not equal to 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 2 3 4 6 or 7. A252278

Number of tilings of a 9 X n rectangle using 3n trominoes of shape I. A251073

Number of maximal subsets of {1..n} containing n such that it is possible to choose a different prime factor of each element (choosable). A370590

Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 2 3 4 6 or 7. A252273

Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 2 3 4 6 or 7. A252277

Number of linear trimer coverings of a 3n X 3n square. A139772

Number of all solid standard Young tableaux of shape [[n,k],[n-k]] for 0<=k<=n. A215002

Squares in A037159. A37160