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112746368 = 277235471
BaseRepresentation
bin1101011100001…
…01111110000000
321212011002221102
412232011332000
5212330340433
615104313532
72536220420
oct656057600
9255132842
10112746368
1158708019
12319128a8
131a487437
1410d8c480
159d714e8
hex6b85f80

112746368 has 64 divisors (see below), whose sum is σ = 267909120. Its totient is φ = 46210560.

The previous prime is 112746353. The next prime is 112746371. The reversal of 112746368 is 863647211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17873 + ... + 23343.

It is an arithmetic number, because the mean of its divisors is an integer number (4186080).

Almost surely, 2112746368 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 112746368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133954560).

112746368 is an abundant number, since it is smaller than the sum of its proper divisors (155162752).

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

112746368 is an equidigital number, since it uses as much as digits as its factorization.

112746368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5515 (or 5503 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 112746368 is about 10618.2092652198. The cubic root of 112746368 is about 483.0968289882.

The spelling of 112746368 in words is "one hundred twelve million, seven hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 322 368 448 644 736 896 1288 1472 2576 2944 5152 5471 10304 10942 20608 21884 38297 43768 76594 87536 125833 153188 175072 251666 306376 350144 503332 612752 700288 880831 1006664 1225504 1761662 2013328 2451008 3523324 4026656 4902016 7046648 8053312 14093296 16106624 28186592 56373184 112746368