Properties of the Number 90077

Ninety Thousand Seventy-Seven

Basics

Value: 90076 → 90077 → 90078

Parity: odd

Prime: No

Previous Prime: 90073

Next Prime: 90089

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 13 ³ × 41

Divisors: 1, 13, 41, 169, 533, 2197, 6929, 90077

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101111111011101

Octal: 257735

Duodecimal: 44165

Hexadecimal: 15fdd

Square: 8113865929

Square Root: 300.1283058959951

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 isomorphism classes of abelian / medial quandles. A165200

Number of isomorphism classes of homogeneous quandles of order n. A176077

Number of isomorphism classes of kei (involutory quandles) of order n. A178432

The number of isomorphism classes of commutative quandles of order n. A179010

Numbers k for which there are non-isomorphic groups of order k whose core quandles are isomorphic. A198147

Number of partitions that are "2-close" to being self-conjugate. A108961

Number of partitions that are "3-close" to being self-conjugate. A108962

Expansion of φ(-x⁶) / f(-x) in powers of·where φ(), f() are Ramanujan θ functions. A271661

In binary expansion of n: reduce contiguous blocks of 1's to 1. A90077

a(n) = s(n,n) + s(n,n-1) + s(n,n-2), where s(n,k) are the unsigned Stirling numbers of the first kind (see A132393). A308305