Properties of the Number 19816

Nineteen Thousand Eight Hundred Sixteen

Basics

Value: 19815 → 19816 → 19817

Parity: even

Prime: No

Previous Prime: 19813

Next Prime: 19819

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 2477

Divisors: 1, 2, 4, 8, 2477, 4954, 9908, 19816

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100110101101000

Octal: 46550

Duodecimal: B574

Hexadecimal: 4d68

Square: 392673856

Square Root: 140.7693148381422

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

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A316815

Number of inversion sequences of length n where all consecutive subsequences i,j,k satisfy i < j > k or i >= j <= k. A328425

Expansion of exp(2x) - exp(0) + BesselI₀(2x). A81672

Self-convolution of A180711. A180712

Even-indexed terms of A247984, a sequence motivated by generalized quadrangles. A246800

Constant terms of congruences derived from a permutation polynomial motivated by generalized quadrangles. A247984

Expansion of e.g.f. (1 + 3·x*exp(x))^1/3. A380134

Number of (2+1) X (n+1) 0..1 arrays with every 2 X 2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically. A258555

Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A316811

Antidiagonal sums of A373005. A373006