Properties of the Number 5240

Five Thousand Two Hundred Forty

Basics

Value: 5239 → 5240 → 5241

Parity: even

Prime: No

Previous Prime: 5237

Next Prime: 5261

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 5 × 131

Divisors: 1, 2, 4, 5, 8, 10, 20, 40, 131, 262

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010001111000

Octal: 12170

Duodecimal: 3048

Hexadecimal: 1478

Square: 27457600

Square Root: 72.38784428341543

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 partitions of n such that smaller parts do not occur more frequently than greater parts. A171979

Sum of the smallest parts of the partitions of 4n into 4 parts. A238702

T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal and antidiagonal neighbors in a random 0..1 nXk array. A220579

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or three plus the sum of the elements diagonally to its northwest, modulo 4. A240192

Number of fully chiral integer partitions of n. A330228

Number of solutions to c(1)t(1) + ... + c(n)t(n) = 0, where c(i) = +-1 for i>1, c(1) = t(1) = 1, t(i) = triangular numbers (A000217). A58498

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 2 and no antidiagonal sum 2 and no row sum 0 and no column sum 0. A255792

Expansion of ∏_k>=1 (1 + x^k + x^3·k). A264905

G.f.s of the z^p coefficients of the polynomials in the GF2 denominators of A156925. A157703

Partial sums of A294016. A294017