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112032132 = 22319895521
BaseRepresentation
bin1101010110101…
…11100110000100
321210210211012020
412223113212010
5212140012012
615041123140
72530154202
oct653274604
9253724166
10112032132
115826a443
12316294b0
131a297304
1410c44072
159c7ea8c
hex6ad7984

112032132 has 48 divisors (see below), whose sum is σ = 278308800. Its totient is φ = 34974720.

The previous prime is 112032097. The next prime is 112032139. The reversal of 112032132 is 231230211.

It is not an unprimeable number, because it can be changed into a prime (112032139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17532 + ... + 23052.

It is an arithmetic number, because the mean of its divisors is an integer number (5798100).

Almost surely, 2112032132 is an apocalyptic number.

112032132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112032132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139154400).

112032132 is an abundant number, since it is smaller than the sum of its proper divisors (166276668).

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

112032132 is a wasteful number, since it uses less digits than its factorization.

112032132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5636 (or 5634 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 112032132 is about 10584.5232296972. The cubic root of 112032132 is about 482.0745452675.

Adding to 112032132 its reverse (231230211), we get a palindrome (343262343).

The spelling of 112032132 in words is "one hundred twelve million, thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 89 114 178 228 267 356 534 1068 1691 3382 5073 5521 6764 10146 11042 16563 20292 22084 33126 66252 104899 209798 314697 419596 491369 629394 982738 1258788 1474107 1965476 2948214 5896428 9336011 18672022 28008033 37344044 56016066 112032132