Properties of the Number -19008

Nineteen Thousand Eight

Basics

Value: -19009 → -19008 → -19007

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁶ × 3 ³ × 11

Divisors: 1, 2, 3, 4, 6, 8, 9, 11, 12, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -100101001000000

Octal: -45100

Duodecimal: -B000

Hexadecimal: -4a40

Square: 361304064

Square Root: 137.8695035169127

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

Coefficients in q-expansion of E₄*E₆², where E₄ and E₆ are respectively the Eisenstein series A004009 and A013973. A282287

Coefficients of Jacobi cusp form of index 1 and weight 10. A3784

arctan(arctan(x)*log(x+1))=2/2!*x²-3/3!*x³-10/5!*x⁵-32/6!*x⁶... A12399

Expansion of tanh(log(1+x))*log(1+x)/2. A24330

The number of permutations p of {1,...,n} satisfying |p(i)-p(i+1)| is in {4,5} for i from 1 to n-1. A174708

a(n) = floor(n/4)*floor((n+1)/4)*floor((n+2)/4)*floor((n+3)/4). A8233

3 times 12-gonal (or dodecagonal) numbers: a(n) = 3·n*(5·n-4). A153448

T(n,k)=Number of nXnXn triangular 0..k arrays with some element less than a w, nw or ne neighbor exactly once. A271034

a(n) = n⁴ - n³. A85537

Coefficients in expansion of Eisenstein series -q·E'_2. A76835