Properties of the Number 18590

Eighteen Thousand Five Hundred Ninety

Basics

Value: 18589 → 18590 → 18591

Parity: even

Prime: No

Previous Prime: 18587

Next Prime: 18593

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 5 × 11 × 13 ²

Divisors: 1, 2, 5, 10, 11, 13, 22, 26, 55, 65

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100010011110

Octal: 44236

Duodecimal: A912

Hexadecimal: 489e

Square: 345588100

Square Root: 136.3451502621197

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

Number of reduced words of length n in the Weyl group D₁₀. A162248

Number of reduced words of length n in the Weyl group B₁₀. A161755

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum unequal to 4 or 5 and every diagonal and antidiagonal sum equal to 4 or 5. A251905

Numbers k such that 2·3^k - 7 is prime. A59454

a(n) = ∑_k=0..n (k+1)²*T(n,k)² where T(n,k) is the Catalan triangle A039598. A228329

T(n,k)=Number of nXk binary arrays with some element plus some horizontally, vertically or antidiagonally adjacent neighbor totalling two not more than once. A269089

Rectangular array A read by upward antidiagonals in which the entry in row n and column k is defined by A(n,k) = S(4·A257499(n,k) - 3), n,k >= 1, where the function S is as defined in A257480. A254067

G.f. satisfies: A(x) = ( ∑_n>=0 q^n*(n+1/2) )⁸ where q=x·A(x). A194042

Triangle read by rows: T(n,k) is the total number of humps with height k in all Motzkin paths of order n, n >= 2 and 1 <= k <= n/2. A379838

a(n) = NumberOfPartitions(n) * ( τ(n)-1 ). A141670