Properties of the Number 90089

Ninety Thousand Eighty-Nine

Basics

Value: 90088 → 90089 → 90090

Parity: odd

Prime: Yes

Previous Prime: 90073

Next Prime: 90107

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 90089

Divisors: 1, 90089

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101111111101001

Octal: 257751

Duodecimal: 44175

Hexadecimal: 15fe9

Square: 8116027921

Square Root: 300.1482966801578

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

Primes having only {0, 8, 9} as digits. A385772

a(n) is the least number whose sum of digits in primorial base equals n. A343048

Table read by rows where i-th row consists of primes P of the form P=j·P(i)# -1 or P=j·P(i)# +1 with 0 < j < P(i+1). Here P(r)# = A002110. A87715

Primes starting and ending with 9. A62335

Emirps starting and ending with composite digit 9. A128374

Numbers k where records occur for φ(k)/φ(k+1), where φ is the Euler totient function (A000010). A335070

Smallest emirp corresponding to the prime of A178583. A178584

Primes of the form n³ - T(n) - 1 where T(n) is the n-th triangular number. A229960

Primes of the form A060735(k) +- 1, where A060735 lists multiples of primorials (A002110) less than the next larger primorial. A257658

Numbers k such that φ(σ(k))/k < φ(σ(m))/m for all m < k, where σ is the sum of divisors function (A000203) and φ is Euler's totient function (A000010). A293711