Properties of the Number 19480

Nineteen Thousand Four Hundred Eighty

Basics

Value: 19479 → 19480 → 19481

Parity: even

Prime: No

Previous Prime: 19477

Next Prime: 19483

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 5 × 487

Divisors: 1, 2, 4, 5, 8, 10, 20, 40, 487, 974

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 100110000011000

Octal: 46030

Duodecimal: B334

Hexadecimal: 4c18

Square: 379470400

Square Root: 139.5707705789432

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 ways to place n nonattacking empresses on an n X n board. A137774

G.f.: ∑_k>=0 q(k)² * x^k / ∑_k>=0 q(k)*x^k, where q(n) is A000009(n). A304877

a(n) is the smallest integer k such that the n-th (backward) difference of the partition sequence A000041 is positive from k onwards. A155861

Cardinality of the Weyl alternation set corresponding to the zero-weight in the adjoint representation of the Lie algebra sp(2n). A232165

Column 6 of triangle A091602. A91609

G.f. A(x) satisfies: 1 = A(x) - x/(A(x) - 3²*x/(A(x) - 5²*x/(A(x) - 7²*x/(A(x) - 9²*x/(A(x) - ...))))), a continued fraction relation. A338636

Number of partitions of 2n free of multiples of 8 such that 4 occurs at most once. All odd parts occur with even multiplicities. There is no restriction on the other even parts. A100684

Maximum value of the cyclic convolution of the first n positive integers with themselves. A294172

a(n) = ∑_{k=1..floor(n/2)} k * (n-k) * floor((n-k)/k). A339804

Numbers k such that prime(k) is the hypotenuse of a Pythagorean triple where one leg is also prime. A342583