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132084 = 22331223
BaseRepresentation
bin100000001111110100
320201012000
4200033310
513211314
62455300
71060041
oct401764
9221160
10132084
1190267
1264530
1348174
14361c8
1529209
hex203f4

132084 has 24 divisors (see below), whose sum is σ = 342720. Its totient is φ = 43992.

The previous prime is 132071. The next prime is 132103. The reversal of 132084 is 480231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 1 + 35 + 0 + 217 + 83 + 44 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 132084.

It is an unprimeable number.

132084 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (14280).

2132084 is an apocalyptic number.

It is an amenable number.

132084 is an abundant number, since it is smaller than the sum of its proper divisors (210636).

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

132084 is a wasteful number, since it uses less digits than its factorization.

132084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 132084 is about 363.4336253018. The cubic root of 132084 is about 50.9272318620.

The spelling of 132084 in words is "one hundred thirty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1223 2446 3669 4892 7338 11007 14676 22014 33021 44028 66042 132084