Properties of the Number 59136

Fifty-Nine Thousand One Hundred Thirty-Six

Basics

Value: 59135 → 59136 → 59137

Parity: even

Prime: No

Previous Prime: 59123

Next Prime: 59141

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁸ × 3 × 7 × 11

Divisors: 1, 2, 3, 4, 6, 7, 8, 11, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110011100000000

Octal: 163400

Duodecimal: 2A280

Hexadecimal: e700

Square: 3497066496

Square Root: 243.17894645713062

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) = 2ⁿ * (2·n)! / (n!)². A59304

a(n) = 2ⁿ*C(n+6,6). Number of 6D hypercubes in an (n+6)-dimensional hypercube. A2409

Triangle T(n,k) = d(n-k,n), 0 <= k <= n, where d(l,m) = ∑_k=l..m 2^k * binomial(2·m-2·k, m-k) * binomial(m+k, m) * binomial(k, l). A67001

Number triangle T(n,k) = 2^n-k*C(2·n,n-k). A128417

Number of rooted unicursal planar maps with n edges and exactly one vertex of valency 1 (unicursal means that exactly two vertices are of odd valency; there is an Eulerian path). A69722

Square array read by antidiagonals downwards: super Patalan numbers of order 4. A248325

If X₁,...,X_n is a partition of a 2n-set X into 2-blocks then a(n) is equal to the number of 6-subsets of X containing none of X_i, (i=1,...n). A130812

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of 1/sqrt(1 - 2·k*x + k*(k-4)*x²). A307910

E.g.f. BesselI(0,2·sqrt(2)*x) + BesselI(1,2·sqrt(2)*x)/sqrt(2). A98660

Partial sums of A129379. A129380