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90188 = 2273221
BaseRepresentation
bin10110000001001100
311120201022
4112001030
510341223
61533312
7523640
oct260114
9146638
1090188
116183a
1244238
1332087
1424c20
151bac8
hex1604c

90188 has 12 divisors (see below), whose sum is σ = 180432. Its totient is φ = 38640.

The previous prime is 90187. The next prime is 90191. The reversal of 90188 is 88109.

90188 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (90187) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1583 + ... + 1638.

It is an arithmetic number, because the mean of its divisors is an integer number (15036).

290188 is an apocalyptic number.

It is an amenable number.

90188 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (90216).

90188 is a wasteful number, since it uses less digits than its factorization.

90188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 90188 is about 300.3131698744. The cubic root of 90188 is about 44.8452296189.

It can be divided in two parts, 901 and 88, that added together give a palindrome (989).

The spelling of 90188 in words is "ninety thousand, one hundred eighty-eight".

Divisors: 1 2 4 7 14 28 3221 6442 12884 22547 45094 90188