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132088 = 23111979
BaseRepresentation
bin100000001111111000
320201012011
4200033320
513211323
62455304
71060045
oct401770
9221164
10132088
1190270
1264534
1348178
14361cc
152920d
hex203f8

132088 has 32 divisors (see below), whose sum is σ = 288000. Its totient is φ = 56160.

The previous prime is 132071. The next prime is 132103. The reversal of 132088 is 880231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1633 + ... + 1711.

It is an arithmetic number, because the mean of its divisors is an integer number (9000).

2132088 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 132088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144000).

132088 is an abundant number, since it is smaller than the sum of its proper divisors (155912).

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

132088 is a wasteful number, since it uses less digits than its factorization.

132088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 132088 is about 363.4391283283. The cubic root of 132088 is about 50.9277459462.

The spelling of 132088 in words is "one hundred thirty-two thousand, eighty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 79 88 152 158 209 316 418 632 836 869 1501 1672 1738 3002 3476 6004 6952 12008 16511 33022 66044 132088