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132009 = 379557
BaseRepresentation
bin100000001110101001
320201002020
4200032221
513211014
62455053
71056603
oct401651
9221066
10132009
11901a9
1264489
1348117
1436173
15291a9
hex203a9

132009 has 8 divisors (see below), whose sum is σ = 178560. Its totient is φ = 86736.

The previous prime is 132001. The next prime is 132019. The reversal of 132009 is 900231.

132009 = T112 + T113 + ... + T129.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 132009 - 23 = 132001 is a prime.

132009 is a lucky number.

It is a congruent number.

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

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 7 ways as a sum of consecutive naturals, for example, 42 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2132009 is an apocalyptic number.

It is an amenable number.

132009 is a deficient number, since it is larger than the sum of its proper divisors (46551).

132009 is an equidigital number, since it uses as much as digits as its factorization.

132009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 132009 is about 363.3304281229. The cubic root of 132009 is about 50.9175908620.

The spelling of 132009 in words is "one hundred thirty-two thousand, nine".

Divisors: 1 3 79 237 557 1671 44003 132009