Properties of the Number 37012

Thirty-Seven Thousand Twelve

Basics

Value: 37011 → 37012 → 37013

Parity: even

Prime: No

Previous Prime: 37003

Next Prime: 37013

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 19 × 487

Divisors: 1, 2, 4, 19, 38, 76, 487, 974, 1948, 9253

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000010010100

Octal: 110224

Duodecimal: 19504

Hexadecimal: 9094

Square: 1369888144

Square Root: 192.38503060269528

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 nXk 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X(k+1) binary array having a sum of one or less, with rows and columns of the latter in lexicographically nondecreasing order. A227165

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = n! * k! * [xⁿ * y^k] exp(x+y) / (exp(x) + exp(y) - exp(x+y))³. A382673

Number of sorted multiplicative partitions of n! of length n. A85289

Number of nX5 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X6 binary array having a sum of one or less, with rows and columns of the latter in lexicographically nondecreasing order. A227164

Number of n X n 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X(n+1) binary array having a sum of one or less, with rows and columns of the latter in lexicographically nondecreasing order. A227160

Triangle read by rows; row 0 is 0; the n-th row for n>0 contains the coefficients in the expansion of (1-x)*(1+x)^n-1. A37012