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112976320 = 2654179109
BaseRepresentation
bin1101011101111…
…10000111000000
321212120210101011
412232332013000
5212410220240
615113250304
72541166012
oct656760700
9255523334
10112976320
1158854866
1231a03994
131a537cc2
141100c1b2
159db96ea
hex6bbe1c0

112976320 has 112 divisors (see below), whose sum is σ = 281635200. Its totient is φ = 43130880.

The previous prime is 112976317. The next prime is 112976321. The reversal of 112976320 is 23679211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112976321) 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, 1036426 + ... + 1036534.

It is an arithmetic number, because the mean of its divisors is an integer number (2514600).

Almost surely, 2112976320 is an apocalyptic number.

112976320 is a gapful number since it is divisible by the number (10) 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 112976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140817600).

112976320 is an abundant number, since it is smaller than the sum of its proper divisors (168658880).

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

112976320 is a wasteful number, since it uses less digits than its factorization.

112976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 112976320 is about 10629.0319408684. The cubic root of 112976320 is about 483.4250395416.

The spelling of 112976320 in words is "one hundred twelve million, nine hundred seventy-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 79 80 82 109 158 160 164 205 218 316 320 328 395 410 436 545 632 656 790 820 872 1090 1264 1312 1580 1640 1744 2180 2528 2624 3160 3239 3280 3488 4360 4469 5056 6320 6478 6560 6976 8611 8720 8938 12640 12956 13120 16195 17222 17440 17876 22345 25280 25912 32390 34444 34880 35752 43055 44690 51824 64780 68888 71504 86110 89380 103648 129560 137776 143008 172220 178760 207296 259120 275552 286016 344440 353051 357520 518240 551104 688880 706102 715040 1036480 1377760 1412204 1430080 1765255 2755520 2824408 3530510 5648816 7061020 11297632 14122040 22595264 28244080 56488160 112976320