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113632112 = 24113159353
BaseRepresentation
bin1101100010111…
…10001101110000
321220211002221202
412301132031300
5213042211422
615135310332
72546566646
oct661361560
9256732852
10113632112
1159162540
123207b3a8
131a707649
141113d196
159e98b92
hex6c5e370

113632112 has 80 divisors (see below), whose sum is σ = 252840960. Its totient is φ = 48998400.

The previous prime is 113632091. The next prime is 113632117. The reversal of 113632112 is 211236311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113632117) 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, 321728 + ... + 322080.

It is an arithmetic number, because the mean of its divisors is an integer number (3160512).

Almost surely, 2113632112 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 113632112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126420480).

113632112 is an abundant number, since it is smaller than the sum of its proper divisors (139208848).

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

113632112 is a wasteful number, since it uses less digits than its factorization.

113632112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 456 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

The square root of 113632112 is about 10659.8363964931. The cubic root of 113632112 is about 484.3586122628.

Adding to 113632112 its reverse (211236311), we get a palindrome (324868423).

The spelling of 113632112 in words is "one hundred thirteen million, six hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 44 59 62 88 118 124 176 236 248 341 353 472 496 649 682 706 944 1298 1364 1412 1829 2596 2728 2824 3658 3883 5192 5456 5648 7316 7766 10384 10943 14632 15532 20119 20827 21886 29264 31064 40238 41654 43772 62128 80476 83308 87544 120373 160952 166616 175088 229097 240746 321904 333232 458194 481492 645637 916388 962984 1291274 1832776 1925968 2582548 3665552 5165096 7102007 10330192 14204014 28408028 56816056 113632112