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204132 = 22317011
BaseRepresentation
bin110001110101100100
3101101000110
4301311210
523013012
64213020
71510065
oct616544
9341013
10204132
1112a405
129a170
1371bb6
145456c
154073c
hex31d64

204132 has 12 divisors (see below), whose sum is σ = 476336. Its totient is φ = 68040.

The previous prime is 204107. The next prime is 204133. The reversal of 204132 is 231402.

204132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 17011 = 204132 / (2 + 0 + 4 + 1 + 3 + 2).

It is not an unprimeable number, because it can be changed into a prime (204133) by changing a digit.

204132 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8494 + ... + 8517.

2204132 is an apocalyptic number.

It is an amenable number.

204132 is an abundant number, since it is smaller than the sum of its proper divisors (272204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204132 is a wasteful number, since it uses less digits than its factorization.

204132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17018 (or 17016 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 204132 is about 451.8096944511. The cubic root of 204132 is about 58.8803473761.

Adding to 204132 its reverse (231402), we get a palindrome (435534).

The spelling of 204132 in words is "two hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17011 34022 51033 68044 102066 204132