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132006 = 2372449
BaseRepresentation
bin100000001110100110
320201002010
4200032212
513211011
62455050
71056600
oct401646
9221063
10132006
11901a6
1264486
1348114
1436170
15291a6
hex203a6

132006 has 24 divisors (see below), whose sum is σ = 307800. Its totient is φ = 37632.

The previous prime is 132001. The next prime is 132019. The reversal of 132006 is 600231.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131982 and 132000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132001) by changing a digit.

132006 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, 70 + ... + 518.

It is an arithmetic number, because the mean of its divisors is an integer number (12825).

2132006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153900).

132006 is an abundant number, since it is smaller than the sum of its proper divisors (175794).

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

132006 is a wasteful number, since it uses less digits than its factorization.

132006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 132006 is about 363.3262996261. The cubic root of 132006 is about 50.9172051460.

Adding to 132006 its reverse (600231), we get a palindrome (732237).

The spelling of 132006 in words is "one hundred thirty-two thousand, six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 449 898 1347 2694 3143 6286 9429 18858 22001 44002 66003 132006