Properties of the Number 540

Five Hundred Forty

Basics

Value: 539 → 540 → 541

Parity: even

Prime: No

Previous Prime: 523

Next Prime: 541

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 5

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1000011100

Octal: 1034

Duodecimal: 390

Hexadecimal: 21c

Square: 291600

Square Root: 23.2379000772445

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

Triangle of Narayana numbers T(n,k) = C(n-1,k-1)*C(n,k-1)/k with 1 <= k <= n, read by rows. Also called the Catalan triangle. A1263

Triangle of coefficients of polynomials u(n,x) jointly generated with A029653; see the Formula section. A208510

Numbers all of whose prime divisors are consecutive primes starting at 2. A55932

Heptagonal numbers (or 7-gonal numbers): n*(5·n-3)/2. A566

Triangle of numbers T(n,k) = k!*Stirling2(n,k) read by rows (n >= 1, 1 <= k <= n). A19538

10-gonal (or decagonal) numbers: a(n) = n*(4·n-3). A1107

Number of divisors of n!. A27423

4-dimensional pyramidal numbers: a(n) = n²*(n²-1)/12. A2415

Sum of positive integers in smallest positive reduced residue system modulo n. a(1) = 1 by convention. A23896

Generalized heptagonal numbers: m*(5·m - 3)/2, m = 0, +-1, +-2 +-3, ... A85787