Properties of the Number 13700

Thirteen Thousand Seven Hundred

Basics

Value: 13699 → 13700 → 13701

Parity: even

Prime: No

Previous Prime: 13697

Next Prime: 13709

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 5 ² × 137

Divisors: 1, 2, 4, 5, 10, 20, 25, 50, 100, 137

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010110000100

Octal: 32604

Duodecimal: 7B18

Hexadecimal: 3584

Square: 187690000

Square Root: 117.04699910719626

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

Total number of ordered k-tuples (k=0..n) of distinct elements from an n-element set: a(n) = ∑_k=0..n n!/k!. A522

Numbers k such that k¹²⁸ + 1 is prime. A56994

Triangular array of coefficients of polynomials p(n,k) defined in Comments. A248664

Number of inequivalent ways to color vertices of a regular tetrahedron using <= n colors. A6008

A046802(x,y) --> A046802(x,y+1), transform of e.g.f. for the graded number of positroids of the totally nonnegative Grassmannians G+(k,n); enumerates faces of the stellahedra. A248727

Triangle T(n,k) read by rows, where e.g.f. for T(n,k) is exp((1+y)*x)/(1-x). A73107

Square array read by antidiagonals: form the Euler-Seidel matrix for the sequence {k!} and then divide column k by k!. A143409

Square array read by antidiagonals upwards: T(n,k) is the number of scenarios for the gift exchange problem in which each gift can be stolen at most once, when there are n gifts in the pool and k gifts (not yet frozen) in peoples' hands. A144502

Triangular array of coefficients of polynomials q(n,k) defined in Comments. A248669

Square array of numbers related to the incomplete γ function, read by antidiagonals. A80955