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112711296 = 273417159
BaseRepresentation
bin1101011011111…
…01011010000000
321212002022211110
412231331122000
5212323230141
615103443320
72536013235
oct655753200
9255068743
10112711296
1158693735
12318b6540
131a474499
1410d7d78c
159d65e16
hex6b7d680

112711296 has 64 divisors (see below), whose sum is σ = 306734400. Its totient is φ = 36648960.

The previous prime is 112711289. The next prime is 112711301. The reversal of 112711296 is 692117211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12165 + ... + 19323.

It is an arithmetic number, because the mean of its divisors is an integer number (4792725).

Almost surely, 2112711296 is an apocalyptic number.

112711296 is a gapful number since it is divisible by the number (16) 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 112711296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153367200).

112711296 is an abundant number, since it is smaller than the sum of its proper divisors (194023104).

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

112711296 is an equidigital number, since it uses as much as digits as its factorization.

112711296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7217 (or 7205 counting only the distinct ones).

The product of its digits is 1512, while the sum is 30.

The square root of 112711296 is about 10616.5576341863. The cubic root of 112711296 is about 483.0467315012.

The spelling of 112711296 in words is "one hundred twelve million, seven hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 7159 7872 14318 15744 21477 28636 42954 57272 85908 114544 171816 229088 293519 343632 458176 587038 687264 880557 916352 1174076 1374528 1761114 2348152 2749056 3522228 4696304 7044456 9392608 14088912 18785216 28177824 37570432 56355648 112711296