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132012 = 223219193
BaseRepresentation
bin100000001110101100
320201002100
4200032230
513211022
62455100
71056606
oct401654
9221070
10132012
1190201
1264490
134811a
1436176
15291ac
hex203ac

132012 has 36 divisors (see below), whose sum is σ = 353080. Its totient is φ = 41472.

The previous prime is 132001. The next prime is 132019. The reversal of 132012 is 210231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 131985 and 132003.

It is not an unprimeable number, because it can be changed into a prime (132019) by changing a digit.

132012 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 11 ways as a sum of consecutive naturals, for example, 588 + ... + 780.

2132012 is an apocalyptic number.

132012 is a gapful number since it is divisible by the number (12) 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 132012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176540).

132012 is an abundant number, since it is smaller than the sum of its proper divisors (221068).

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

132012 is a wasteful number, since it uses less digits than its factorization.

132012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 132012 is about 363.3345565729. The cubic root of 132012 is about 50.9179765721.

Adding to 132012 its reverse (210231), we get a palindrome (342243).

It can be divided in two parts, 13201 and 2, that added together give a triangular number (13203 = T162).

The spelling of 132012 in words is "one hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 193 228 342 386 579 684 772 1158 1737 2316 3474 3667 6948 7334 11001 14668 22002 33003 44004 66006 132012