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132966 = 2328389
BaseRepresentation
bin100000011101100110
320202101200
4200131212
513223331
62503330
71062441
oct403546
9222350
10132966
1190999
1264b46
13486a2
1436658
15295e6
hex20766

132966 has 24 divisors (see below), whose sum is σ = 294840. Its totient is φ = 43296.

The previous prime is 132961. The next prime is 132967. The reversal of 132966 is 669231.

It is a happy number.

132966 is nontrivially palindromic in base 12.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1450 + ... + 1538.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2132966 is an apocalyptic number.

132966 is an abundant number, since it is smaller than the sum of its proper divisors (161874).

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

132966 is a wasteful number, since it uses less digits than its factorization.

132966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 177 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 132966 is about 364.6450328744. The cubic root of 132966 is about 51.0403371767.

The spelling of 132966 in words is "one hundred thirty-two thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 83 89 166 178 249 267 498 534 747 801 1494 1602 7387 14774 22161 44322 66483 132966