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132829 = 196991
BaseRepresentation
bin100000011011011101
320202012121
4200123131
513222304
62502541
71062154
oct403335
9222177
10132829
1190884
1264a51
13485c8
143659b
1529554
hex206dd

132829 has 4 divisors (see below), whose sum is σ = 139840. Its totient is φ = 125820.

The previous prime is 132817. The next prime is 132833. The reversal of 132829 is 928231.

132829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 132829 - 27 = 132701 is a prime.

It is a d-powerful number, because it can be written as 1 + 3 + 83 + 29 + 217 + 93 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132859) 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, 3477 + ... + 3514.

It is an arithmetic number, because the mean of its divisors is an integer number (34960).

2132829 is an apocalyptic number.

132829 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

132829 is a deficient number, since it is larger than the sum of its proper divisors (7011).

132829 is an equidigital number, since it uses as much as digits as its factorization.

132829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010.

The product of its digits is 864, while the sum is 25.

The square root of 132829 is about 364.4571305380. The cubic root of 132829 is about 51.0228015432.

It can be divided in two parts, 132 and 829, that added together give a square (961 = 312).

The spelling of 132829 in words is "one hundred thirty-two thousand, eight hundred twenty-nine".

Divisors: 1 19 6991 132829