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90692 = 2274179
BaseRepresentation
bin10110001001000100
311121101222
4112021010
510400232
61535512
7525260
oct261104
9147358
1090692
1162158
1244598
1332384
14250a0
151bd12
hex16244

90692 has 24 divisors (see below), whose sum is σ = 188160. Its totient is φ = 37440.

The previous prime is 90679. The next prime is 90697. The reversal of 90692 is 29609.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90692.

It is not an unprimeable number, because it can be changed into a prime (90697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1109 + ... + 1187.

It is an arithmetic number, because the mean of its divisors is an integer number (7840).

290692 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94080).

90692 is an abundant number, since it is smaller than the sum of its proper divisors (97468).

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

90692 is a wasteful number, since it uses less digits than its factorization.

90692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 90692 is about 301.1511248526. The cubic root of 90692 is about 44.9286110869.

The spelling of 90692 in words is "ninety thousand, six hundred ninety-two".

Divisors: 1 2 4 7 14 28 41 79 82 158 164 287 316 553 574 1106 1148 2212 3239 6478 12956 22673 45346 90692