Properties of the Number 37140

Thirty-Seven Thousand One Hundred Forty

Basics

Value: 37139 → 37140 → 37141

Parity: even

Prime: No

Previous Prime: 37139

Next Prime: 37159

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 5 × 619

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000100010100

Octal: 110424

Duodecimal: 195B0

Hexadecimal: 9114

Square: 1379379600

Square Root: 192.71740969616627

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

Triangle read by rows, numerators of coefficients (in rising powers) of rational polynomials P(n, x) such that Integral_x=0..1 P'(n, x) = BernoulliMedian(n). A291447

Triangle read by rows: T(n,k) is the number of digraphs on n unlabeled nodes with k strongly connected components and without isolated nodes. A361588

Numbers·such that there exist three integers 0<x<=y, z>0 and w>0 such that σ(x)³ = σ(y)³ = x³ + y³ + z³ + w³. A385397

E.g.f. A(x) satisfies A(x) = 1 + x·exp(x²)*A(x)³. A389696

Irregular triangle read by rows: T(n,k) is the number of flattened Catalan words of length n with exactly k short peak, with k >= 0. A372879

Number of binary strings of length n with equal numbers of 00101 and 10110 substrings. A164250

Number of partitions of n² into exactly n nonzero parts, such that there are at most one 1's, two 2's, ... n-1 n-1's, n n's, n-1 n+1's, ... two 2n-2's and one 2n-1. A62881

Convolution of Fibonacci F(n+1), n>=0, with F(n+8), n>=0. A67431

Triangle read by rows, T(n, k) = [x^k](∑_k=0..n(-1)^n-k*Stirling2(n, k)*k!* x^k)², for 0 <= k <= 2n. A290696

a(n) = ∑_{k=0..floor(n/3)} binomial(3·n-8·k-1,k). A373655