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90680 = 2352267
BaseRepresentation
bin10110001000111000
311121101112
4112020320
510400210
61535452
7525242
oct261070
9147345
1090680
1162147
1244588
1332375
1425092
151bd05
hex16238

90680 has 16 divisors (see below), whose sum is σ = 204120. Its totient is φ = 36256.

The previous prime is 90679. The next prime is 90697. The reversal of 90680 is 8609.

It is a plaindrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1094 + ... + 1173.

290680 is an apocalyptic number.

It is an amenable number.

90680 is an abundant number, since it is smaller than the sum of its proper divisors (113440).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102060).

90680 is a wasteful number, since it uses less digits than its factorization.

90680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 90680 is about 301.1312006418. The cubic root of 90680 is about 44.9266294086.

The spelling of 90680 in words is "ninety thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 2267 4534 9068 11335 18136 22670 45340 90680