Properties of the Number 29540

Twenty-Nine Thousand Five Hundred Forty

Basics

Value: 29539 → 29540 → 29541

Parity: even

Prime: No

Previous Prime: 29537

Next Prime: 29567

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 5 × 7 × 211

Divisors: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001101100100

Octal: 71544

Duodecimal: 15118

Hexadecimal: 7364

Square: 872611600

Square Root: 171.87204542915057

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 0..2 colorings of an nx(k+1) array circular in the k+1 direction with new values 0..2 introduced in row major order. A214101

T(n,k)=Number of nXk 0..1 arrays with rows and columns lexicographically nondecreasing and every element equal to at least one horizontal or vertical neighbor. A201353

a(n) is the number of configurations of n indistinguishable pairs placed on the vertices of the ladder graph P₂ X P_n such that all but two such pairs are joined by an edge. A318267

Number of arrays of 2n nondecreasing integers in -3..3 with sum zero and equal numbers greater than zero and less than zero. A203286

Number of partitions of n for which (number of occurrences of the least part) = (number of occurrences of greatest part). A236543

Number of (w,x,y,z) with all terms in {0,...,n} and 2w=max{w,x,y,z}-min{w,x,y,z}. A212757

a(n) is the number of ways to select 3 distinct points forming a triangle of unsigned area = n from a square of grid points with side length n, divided by 4. A320542

Maximum number of copies of a 1234 permutation pattern in an alternating (or zig-zag) permutation of length n + 5. A338429

Number of nX5 0..1 arrays with rows and columns lexicographically nondecreasing and every element equal to at least one horizontal or vertical neighbor. A201350

Number of nX6 0..1 arrays with rows and columns lexicographically nondecreasing and every element equal to at least one horizontal or vertical neighbor. A201351