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132007 = 1011307
BaseRepresentation
bin100000001110100111
320201002011
4200032213
513211012
62455051
71056601
oct401647
9221064
10132007
11901a7
1264487
1348115
1436171
15291a7
hex203a7

132007 has 4 divisors (see below), whose sum is σ = 133416. Its totient is φ = 130600.

The previous prime is 132001. The next prime is 132019. The reversal of 132007 is 700231.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 132007 - 211 = 129959 is a prime.

It is a Smith number, since the sum of its digits (13) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 132007.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 553 + ... + 754.

It is an arithmetic number, because the mean of its divisors is an integer number (33354).

2132007 is an apocalyptic number.

132007 is a deficient number, since it is larger than the sum of its proper divisors (1409).

132007 is a wasteful number, since it uses less digits than its factorization.

132007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408.

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 132007 is about 363.3276757969. The cubic root of 132007 is about 50.9173337187.

Adding to 132007 its reverse (700231), we get a palindrome (832238).

The spelling of 132007 in words is "one hundred thirty-two thousand, seven".

Divisors: 1 101 1307 132007