Properties of the Number 20590

Twenty Thousand Five Hundred Ninety

Basics

Value: 20589 → 20590 → 20591

Parity: even

Prime: No

Previous Prime: 20563

Next Prime: 20593

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 5 × 29 × 71

Divisors: 1, 2, 5, 10, 29, 58, 71, 142, 145, 290

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000001101110

Octal: 50156

Duodecimal: BABA

Hexadecimal: 506e

Square: 423948100

Square Root: 143.49216006458332

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

Let M(n) = maximal value of (n/k)^k over all k = 1, 2, ...; a(n) = ceiling(M(n)). A139078

Let M(n) be the n X n matrix m(i,j)=min(i,j) for 1<=i,j<=n then a(n) is the trace of M(n)^-6. A114358

a(n) = (7·n+2)*(7·n+5) = 49·n² + 49·n + 10. A177060

Number of 2 X n 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A279978

Number of partitions in parts not of the form 21k, 21k+3 or 21k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 9 are greater than 1. A35981

Number of n X 6 0..1 arrays with every element equal to 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero. A298175

Smallest nonempty set S containing prime divisors of 4k+5 for each k in S. A20590