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90108 = 22322503
BaseRepresentation
bin10101111111111100
311120121100
4111333330
510340413
61533100
7523464
oct257774
9146540
1090108
1161777
1244190
1332025
1424ba4
151ba73
hex15ffc

90108 has 18 divisors (see below), whose sum is σ = 227864. Its totient is φ = 30024.

The previous prime is 90107. The next prime is 90121. The reversal of 90108 is 80109.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1216 + ... + 1287.

290108 is an apocalyptic number.

It is an amenable number.

90108 is an abundant number, since it is smaller than the sum of its proper divisors (137756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90108 is a wasteful number, since it uses less digits than its factorization.

90108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 90108 is about 300.1799460324. The cubic root of 90108 is about 44.8319659191.

Subtracting from 90108 its reverse (80109), we obtain a palindrome (9999).

The spelling of 90108 in words is "ninety thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 2503 5006 7509 10012 15018 22527 30036 45054 90108