Properties of the Number 57540

Fifty-Seven Thousand Five Hundred Forty

Basics

Value: 57539 → 57540 → 57541

Parity: even

Prime: No

Previous Prime: 57529

Next Prime: 57557

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 5 × 7 × 137

Divisors: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000011000100

Octal: 160304

Duodecimal: 29370

Hexadecimal: e0c4

Square: 3310851600

Square Root: 239.87496743095141

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 generalized polyforms on the truncated square tiling with n cells. A343577

a(0)=1, a(1)=2, a(n) = a(n-1)*9/2 - Catalan(n-1) where Catalan(n) = binomial(2n,n)/(n+1) = A000108(n). A67336

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with the (lower) medians of each row and column unequal to its neighbors. A238037

θ series of A₆ lattice. A8446

Triangle related to the o.g.f.s. of the right-hand columns of A028421 (E(x,m=2,n)). A163937

G.f.: exp( ∑_n>=1 3·Jacobsthal(n)³ * xⁿ/n ), where Jacobsthal(n) = A001045(n). A211895

Denominators of continued fraction convergents to sqrt(266). A41499

Square array read by antidiagonals: T(n,k)=T(n,k-1)*n²/(n-1)-Catalan(k-1) with a(n,1)=n-1 and a(1,k)=0 where Catalan(k)=C(2k,k)/(k+1)=A000108(k). A67346

a(n) = 64·n² - 2·n. A158067

Number of (n+2)X(2+2) 0..1 arrays with the (lower) medians of each row and column unequal to its neighbors. A238033