Properties of the Number 2540

Two Thousand Five Hundred Forty

Basics

Value: 2539 → 2540 → 2541

Parity: even

Prime: No

Previous Prime: 2539

Next Prime: 2543

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 5 × 127

Divisors: 1, 2, 4, 5, 10, 20, 127, 254, 508, 635

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111101100

Octal: 4754

Duodecimal: 1578

Hexadecimal: 9ec

Square: 6451600

Square Root: 50.39841267341661

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

a(n) = ∑_d∣n p(d), where p(d) = A000041 = number of partitions of d. A47968

Number of 2's in all partitions of n. A24786

a(n) = n*(3·n + 7)/2. A140090

Numbers m such that m and m+1 are consecutive factorial base Niven numbers (A118363). A328205

Numbers m such that there are precisely 11 groups of order m. A249554

Sums of two distinct prime cubes. A120398

Triangle T, read by rows, equal to the matrix square of A118032 and also equal to a diagonal bisection of A118032; i.e., diagonal n of T equals diagonal 2n of A118032: T(n,k) = A118032(2n-k,k) for n>=k>=0. A118040

a(0) = 0; thereafter a(n) = a(n-1) + n² if a(n-1) < n², otherwise a(n) = a(n-1) - n². A76042

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254020

T(n,k)=Number of length n+4 0..k arrays with no five consecutive terms having two times the sum of any three elements equal to three times the sum of the remaining two. A249001