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189088 = 2519311
BaseRepresentation
bin101110001010100000
3100121101021
4232022200
522022323
64015224
71415164
oct561240
9317337
10189088
1111a079
1291514
13680b3
144cca4
153b05d
hex2e2a0

189088 has 24 divisors (see below), whose sum is σ = 393120. Its totient is φ = 89280.

The previous prime is 189067. The next prime is 189127. The reversal of 189088 is 880981.

It is an unprimeable number.

189088 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 453 + ... + 763.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2189088 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 189088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560).

189088 is an abundant number, since it is smaller than the sum of its proper divisors (204032).

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

189088 is a wasteful number, since it uses less digits than its factorization.

189088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 189088 is about 434.8425002228. The cubic root of 189088 is about 57.3968408707.

The spelling of 189088 in words is "one hundred eighty-nine thousand, eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 311 608 622 1244 2488 4976 5909 9952 11818 23636 47272 94544 189088