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132660 = 223251167
BaseRepresentation
bin100000011000110100
320201222100
4200120310
513221120
62502100
71061523
oct403064
9221870
10132660
1190740
1264930
13484c8
14364ba
1529490
hex20634

132660 has 72 divisors (see below), whose sum is σ = 445536. Its totient is φ = 31680.

The previous prime is 132647. The next prime is 132661. The reversal of 132660 is 66231.

It is a happy number.

132660 is a `hidden beast` number, since 1 + 3 + 2 + 660 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132661) by changing a digit.

132660 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 23 ways as a sum of consecutive naturals, for example, 1947 + ... + 2013.

It is an arithmetic number, because the mean of its divisors is an integer number (6188).

2132660 is an apocalyptic number.

132660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222768).

132660 is an abundant number, since it is smaller than the sum of its proper divisors (312876).

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

132660 is a wasteful number, since it uses less digits than its factorization.

132660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 132660 is about 364.2252050586. The cubic root of 132660 is about 51.0011533765.

Adding to 132660 its reverse (66231), we get a palindrome (198891).

The spelling of 132660 in words is "one hundred thirty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 67 90 99 110 132 134 165 180 198 201 220 268 330 335 396 402 495 603 660 670 737 804 990 1005 1206 1340 1474 1980 2010 2211 2412 2948 3015 3685 4020 4422 6030 6633 7370 8844 11055 12060 13266 14740 22110 26532 33165 44220 66330 132660