Properties of the Number 90168

Ninety Thousand One Hundred Sixty-Eight

Basics

Value: 90167 → 90168 → 90169

Parity: even

Prime: No

Previous Prime: 90163

Next Prime: 90173

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 13 × 17 ²

Divisors: 1, 2, 3, 4, 6, 8, 12, 13, 17, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110000000111000

Octal: 260070

Duodecimal: 44220

Hexadecimal: 16038

Square: 8130268224

Square Root: 300.2798694551468

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

The second primorial based variant of arithmetic derivative: a(p) = A034386(p) for p prime, a(u·v) = a(u)*v + u·a(v), with a(0) = a(1) = 0. A328769

Partial sums of A051947. A50483

Numbers n such that n*φ(n-1) is a perfect square. A69069

a(n) = 18n³ + 6n². A87887

Primitive integer length of the side of an origin-centered square that contains inside its boundary a point with integer coordinates that is an integer distance from three of the four corners. A215365

Expansion of 1/((1 - x)⁴ - 2·x⁴). A375164

Number of permutations of 1..n with both permutation and its inverse having exactly 2 maxima. A180392

Number of maximal collections of pairwise disjoint subsets {X,Y,Z} of {1, 2, ..., n}, each satisfying X + Y = Z. A2849

Number of maximal collections of pairwise disjoint subsets {X,Y,Z} of {1, 2, ..., n} with X + Y = Z (as in A002849), with the property that n is in one of the subsets. A2848

Maximum number of pairwise incomparable subcubes of the discrete n-cube. Largest antichain in partial ordering {0,1,*}ⁿ where 0 and 1 are less than *. Maximum number of implicants in an irredundant disjunctive normal form for n Boolean variables. A109388