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113446112 = 25131931463
BaseRepresentation
bin1101100001100…
…00110011100000
321220110122210212
412300300303200
5213020233422
615131313252
72545163453
oct660606340
9256418725
10113446112
115904581a
1231bab828
131a670aa0
14110d149a
159e5d9e2
hex6c30ce0

113446112 has 96 divisors (see below), whose sum is σ = 261918720. Its totient is φ = 47900160.

The previous prime is 113446111. The next prime is 113446141. The reversal of 113446112 is 211644311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113446111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244793 + ... + 245255.

It is an arithmetic number, because the mean of its divisors is an integer number (2728320).

Almost surely, 2113446112 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 113446112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130959360).

113446112 is an abundant number, since it is smaller than the sum of its proper divisors (148472608).

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

113446112 is a wasteful number, since it uses less digits than its factorization.

113446112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 113446112 is about 10651.1084869135. The cubic root of 113446112 is about 484.0941919906.

The spelling of 113446112 in words is "one hundred thirteen million, four hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 31 32 38 52 62 76 104 124 152 208 247 248 304 403 416 463 494 496 589 608 806 926 988 992 1178 1612 1852 1976 2356 3224 3704 3952 4712 6019 6448 7408 7657 7904 8797 9424 12038 12896 14353 14816 15314 17594 18848 24076 28706 30628 35188 48152 57412 61256 70376 96304 114361 114824 122512 140752 186589 192608 228722 229648 245024 272707 281504 373178 457444 459296 545414 746356 914888 1090828 1492712 1829776 2181656 2985424 3545191 3659552 4363312 5970848 7090382 8726624 14180764 28361528 56723056 113446112