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132112 = 2423359
BaseRepresentation
bin100000010000010000
320201020001
4200100100
513211422
62455344
71060111
oct402020
9221201
10132112
1190292
1264554
1348196
1436208
1529227
hex20410

132112 has 20 divisors (see below), whose sum is σ = 267840. Its totient is φ = 63008.

The previous prime is 132109. The next prime is 132113. The reversal of 132112 is 211231.

It is not an unprimeable number, because it can be changed into a prime (132113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 189 + ... + 547.

It is an arithmetic number, because the mean of its divisors is an integer number (13392).

2132112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

132112 is an abundant number, since it is smaller than the sum of its proper divisors (135728).

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

132112 is a wasteful number, since it uses less digits than its factorization.

132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its digits is 12, while the sum is 10.

The square root of 132112 is about 363.4721447374. The cubic root of 132112 is about 50.9308302331.

Adding to 132112 its reverse (211231), we get a palindrome (343343).

The spelling of 132112 in words is "one hundred thirty-two thousand, one hundred twelve".