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132349 = 723773
BaseRepresentation
bin100000010011111101
320201112211
4200103331
513213344
62500421
71060600
oct402375
9221484
10132349
1190488
1264711
1348319
1436337
1529334
hex204fd

132349 has 12 divisors (see below), whose sum is σ = 160284. Its totient is φ = 108864.

The previous prime is 132347. The next prime is 132361. The reversal of 132349 is 943231.

132349 = 12 + 22 + ... + 732.

132349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 99225 + 33124 = 315^2 + 182^2 .

It is not a de Polignac number, because 132349 - 21 = 132347 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1777 + ... + 1849.

It is an arithmetic number, because the mean of its divisors is an integer number (13357).

2132349 is an apocalyptic number.

It is an amenable number.

132349 is a deficient number, since it is larger than the sum of its proper divisors (27935).

132349 is an equidigital number, since it uses as much as digits as its factorization.

132349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 117 counting only the distinct ones).

The product of its digits is 648, while the sum is 22.

The square root of 132349 is about 363.7980208852. The cubic root of 132349 is about 50.9612675288.

The spelling of 132349 in words is "one hundred thirty-two thousand, three hundred forty-nine".

Divisors: 1 7 37 49 73 259 511 1813 2701 3577 18907 132349