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132693 = 3114021
BaseRepresentation
bin100000011001010101
320202000120
4200121111
513221233
62502153
71061601
oct403125
9222016
10132693
1190770
1264959
1348522
1436501
15294b3
hex20655

132693 has 8 divisors (see below), whose sum is σ = 193056. Its totient is φ = 80400.

The previous prime is 132689. The next prime is 132697. The reversal of 132693 is 396231.

132693 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (132689) and next prime (132697).

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

It is not a de Polignac number, because 132693 - 22 = 132689 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132697) 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, 1978 + ... + 2043.

It is an arithmetic number, because the mean of its divisors is an integer number (24132).

2132693 is an apocalyptic number.

It is an amenable number.

132693 is a deficient number, since it is larger than the sum of its proper divisors (60363).

132693 is a wasteful number, since it uses less digits than its factorization.

132693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035.

The product of its digits is 972, while the sum is 24.

The square root of 132693 is about 364.2705038841. The cubic root of 132693 is about 51.0053819772.

The spelling of 132693 in words is "one hundred thirty-two thousand, six hundred ninety-three".

Divisors: 1 3 11 33 4021 12063 44231 132693