Properties of the Number 90675

Ninety Thousand Six Hundred Seventy-Five

Basics

Value: 90674 → 90675 → 90676

Parity: odd

Prime: No

Previous Prime: 90659

Next Prime: 90677

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 ² × 13 × 31

Divisors: 1, 3, 5, 9, 13, 15, 25, 31, 39, 45

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110001000110011

Octal: 261063

Duodecimal: 44583

Hexadecimal: 16233

Square: 8221955625

Square Root: 301.12289849827096

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

4-dimensional figurate numbers: a(n) = (5·n-1)*binomial(n+2,3)/4. A2418

Odd numbers n such that 2n/σ(n) - 1 = 1/x for some positive integer x. A222263

a(n) = A249670(A003961(n)). A361468

Odd numbers k that have a divisor d such that σ(d)*d is equal to k. A327599

The larger companion to the deficient numbers in A212608. A212609

Number of 3-regular cubic partitions of n. A335602

a(n) = A003961(n) * σ(A003961(n)), where A003961 is fully multiplicative with a(p) = nextprime(p), and σ is the sum of divisors function. A361467

a(n) = binomial(floor(n/2),4) + (ceiling(n/2)-3)*binomial(floor(n/2),3). A234277

Expansion of x*(1 + 3·x + x²)/((1 - x)⁵*(1 + x)⁴). A287143

Denominators of rational coefficients in a series expansion of z! = γ(z+1), convergent for Re(z) >= 0, given as equation (21) in the referenced paper by Lanczos. A90675