Properties of the Number 3540

Three Thousand Five Hundred Forty

Basics

Value: 3539 → 3540 → 3541

Parity: even

Prime: No

Previous Prime: 3539

Next Prime: 3541

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 5 × 59

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110111010100

Octal: 6724

Duodecimal: 2070

Hexadecimal: dd4

Square: 12531600

Square Root: 59.49789912257407

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) = 2·n*(2·n-1). A2939

Number of condensed integer partitions of n. A239312

Expansion of reciprocal of Hauptmodul for Gamma₀(18). A92848

Numbers n such that n is both the average of some twin prime pair p, q (q = p+2) (i.e., n = p+1 = q-1) and is also the average of the prime before p and the prime after q. A256753

Product of a prime and the following number. A36690

a(n) = φ(n) * A064989(n), where φ is Euler totient function, and A064989 shifts the prime factorization one step towards lower primes. A353749

Unitary untouchable numbers: us(x) = n has no solution where us(x) (A063919) is the sum of the proper unitary divisors of x. A63948

Number A(n,k) of tilings of a k X n rectangle using dominoes and trominoes (of any shape); square array A(n,k), n>=0, k>=0, read by antidiagonals. A364457

Expansion of q^-1 * (φ(q) / φ(q⁹) - 1) / 2 in powers of q³ where φ() is a Ramanujan θ function. A128111

6 times pentagonal numbers: a(n) = 3·n*(3·n-1). A152743