Properties of the Number 90116

Ninety Thousand One Hundred Sixteen

Basics

Value: 90115 → 90116 → 90117

Parity: even

Prime: No

Previous Prime: 90107

Next Prime: 90121

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 13 × 1733

Divisors: 1, 2, 4, 13, 26, 52, 1733, 3466, 6932, 22529

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110000000000100

Octal: 260004

Duodecimal: 44198

Hexadecimal: 16004

Square: 8120893456

Square Root: 300.1932710771512

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 convex polygons of perimeter 2n on square lattice. A5436

Gossip Problem: there are n people and each of them knows some item of gossip not known to the others. They communicate by telephone and whenever one person calls another, they tell each other all that they know at that time. How many calls are required before each gossip knows everything? A58992

a(n)=x is the least number such that x² is "surrounded" by two closest primes, prevprime(x²) and nextprime(x²), whose difference nextprime - prevprime = 2n. A90116

Number of convex polygons of length 2n on square lattice whose leftmost bottom vertex and rightmost top vertex have the same x-coordinate. A5770

Number of convex polygons of length 2n on square lattice whose leftmost bottom vertex is strictly to the left of the rightmost top vertex. A5768

Number of convex polygons of length 2n on square lattice whose leftmost bottom vertex is strictly to the right of the rightmost top vertex. A5769

The number of convex polyominoes whose smallest bounding rectangle has size w·h (w > 0, h > 0). The table is read by antidiagonals. A324009