Properties of the Number 37260

Thirty-Seven Thousand Two Hundred Sixty

Basics

Value: 37259 → 37260 → 37261

Parity: even

Prime: No

Previous Prime: 37253

Next Prime: 37273

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ⁴ × 5 × 23

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000110001100

Octal: 110614

Duodecimal: 19690

Hexadecimal: 918c

Square: 1388307600

Square Root: 193.02849530574494

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: T(n,c) = number of successive equalities in set partitions of n. A56857

Number of rooted set partitions. A52889

Triangle T(n,k) = number of element-subset partitions of {1..n} with n-k+1 equalities (n >= 1, 1 <= k <= n). A56860

Triangle of coefficients of ordered cycle-index polynomials: T(n,k) = binomial(n,k)*Bell(k)*Bell(n-k). A33306

a(n) is the smallest nonnegative integer k where exactly n pairs of positive integers (x, y) exist such that x² + 11·y² = k. A374160

Triangular array read by rows: T(n,k) is the number of blocks of size k in all set partitions of {1,2,...,n}. A175757

A convolution triangle of numbers generalizing Pascal's triangle A007318. A49327

Number of 3 X 3 symmetric matrices over Z(n) having nonzero determinant. A115225

Row sums of triangle A144825. A144826

Numbers k such that sopfr(k + bigomega(k)) = sopfr(k). A187877