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132872 = 2317977
BaseRepresentation
bin100000011100001000
320202021012
4200130020
513222442
62503052
71062245
oct403410
9222235
10132872
1190913
1264a88
134862c
14365cc
1529582
hex20708

132872 has 16 divisors (see below), whose sum is σ = 264060. Its totient is φ = 62464.

The previous prime is 132863. The next prime is 132887. The reversal of 132872 is 278231.

132872 = T93 + T94 + ... + T116.

132872 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in 2 ways, for example, as 111556 + 21316 = 334^2 + 146^2 .

It is a plaindrome in base 9.

It is a congruent number.

It is an unprimeable number.

132872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 353 + ... + 624.

2132872 is an apocalyptic number.

It is an amenable number.

132872 is a deficient number, since it is larger than the sum of its proper divisors (131188).

132872 is a wasteful number, since it uses less digits than its factorization.

132872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 996 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 132872 is about 364.5161176135. The cubic root of 132872 is about 51.0283067260.

The spelling of 132872 in words is "one hundred thirty-two thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 17 34 68 136 977 1954 3908 7816 16609 33218 66436 132872