Properties of the Number 90271

Ninety Thousand Two Hundred Seventy-One

Basics

Value: 90270 → 90271 → 90272

Parity: odd

Prime: Yes

Previous Prime: 90263

Next Prime: 90281

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 90271

Divisors: 1, 90271

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110000010011111

Octal: 260237

Duodecimal: 442A7

Hexadecimal: 1609f

Square: 8148853441

Square Root: 300.45132717297156

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

Smallest number k for which k, 2k, ... nk all contain the digit 1. A39932

Least number k such that d(k-1) = d(k+1) = 2n or 0 if no such k exists, where d(n)=A000005(n). A190646

Primes p such that continued fraction of (1 + sqrt(p))/2 has period 16 : primes in A146339. A146361

E.g.f. satisfies: A(x) = ∑_n>=0 xⁿ/n! * ( d/dx x·A(x)ⁿ ) / A(x)ⁿ. A245308

Record values in A039932. A319542

Primes p such that d(p²-1) sets a record, where d(n) is the number of divisors of n. A335325

a(n) is the smallest number m such that τ(m-1) = τ(m+1) = n*τ(m) or 0 if no such m exists, where τ(k) = A000005(k). A350935

Expansion of 1/((1-x)⁸ - 16·x⁸)^1/8. A376836

Sort then Add, a(1)=17. A33899

Successive record-setters for τ(n+1)*τ(n-1)/τ(n)², where τ(n) is the number of divisors of n. A94342