Properties of the Number 90078

Ninety Thousand Seventy-Eight

Basics

Value: 90077 → 90078 → 90079

Parity: even

Prime: No

Previous Prime: 90073

Next Prime: 90089

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 15013

Divisors: 1, 2, 3, 6, 15013, 30026, 45039, 90078

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101111111011110

Octal: 257736

Duodecimal: 44166

Hexadecimal: 15fde

Square: 8114046084

Square Root: 300.1299718455323

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

Expansion of ∏_k>=2 1/(1 - x^k)^ω(k), where ω(k) is the number of distinct primes dividing k (A001221). A293548

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 414", based on the 5-celled von Neumann neighborhood. A288052

Numbers k such that k, k+1, k+2, k+3 and k+4 are terms of A288041. A336221

a(n) = Fibonacci(n) - 1. A71

a(n) = ceiling((∑_k=1..n-1 a(k)) / 2) for n >= 2 starting with a(1) = 1. A73941

a(1) = 1 and a(n) = ceiling((∑_k=1..n-1 a(k))/3) for n >= 2. A72493

a(n) = ceiling((1 + sum of preceding terms) / 2) starting with a(0) = 1. A5428

Array read by antidiagonals: Arnoux's product T(n,k) = n·k = nk + ceiling(φ n) ceiling(φ k), where φ = (1 + sqrt(5))/2 ; n, k >= 1. A101866

a(n) = ceiling(∑_i=1..n-1 a(i)/4) for n >= 2 starting with a(1) = 1. A120160

Array read by antidiagonals: T(n, k) = Knuth's Fibonacci (or circle) product of n and k ("n o k"), n >= 1, k >= 1. A101330