Properties of the Number 2590

Two Thousand Five Hundred Ninety

Basics

Value: 2589 → 2590 → 2591

Parity: even

Prime: No

Previous Prime: 2579

Next Prime: 2591

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 5 × 7 × 37

Divisors: 1, 2, 5, 7, 10, 14, 35, 37, 70, 74

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000011110

Octal: 5036

Duodecimal: 15BA

Hexadecimal: a1e

Square: 6708100

Square Root: 50.89204259999789

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

Expansion of ∏_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts. A9

Number of partitions of n having an integer median. A325347

Number of unimodular 2 X 2 matrices having all terms in {0,1,...,n}. A210000

Number of ways to partition 2n+1 into distinct positive integers. A78408

Coordination sequence for "reo" 3D uniform tiling. A299279

a(n) = 2·n² - 2. A54000

Number of palindromic and unimodal compositions of n. Equivalently, the number of orbits under conjugation of even nilpotent n X n matrices. A96441

Number of partitions of n into odd parts in which the largest part occurs only once. A117409

Expansion of q^-1/24 (m (1-m) / 16)^1/24 in powers of q, where m = k² is the parameter and q is the nome for Jacobian elliptic functions. A81360

a(n) = n·A276086(n). A324580