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110112096 = 2537914519
BaseRepresentation
bin1101001000000…
…10110101100000
321200012021101210
412210002311200
5211142041341
614532030120
72504636343
oct644026540
9250167353
10110112096
1157178936
1230a62340
1319a743b3
14108a445a
159a00c16
hex6902d60

110112096 has 48 divisors (see below), whose sum is σ = 292723200. Its totient is φ = 36236928.

The previous prime is 110112089. The next prime is 110112133. The reversal of 110112096 is 690211011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 325 + ... + 14843.

It is an arithmetic number, because the mean of its divisors is an integer number (6098400).

Almost surely, 2110112096 is an apocalyptic number.

110112096 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 110112096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146361600).

110112096 is an abundant number, since it is smaller than the sum of its proper divisors (182611104).

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

110112096 is a wasteful number, since it uses less digits than its factorization.

110112096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14611 (or 14603 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The square root of 110112096 is about 10493.4310880665. The cubic root of 110112096 is about 479.3046877242.

The spelling of 110112096 in words is "one hundred ten million, one hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 14519 29038 43557 58076 87114 116152 174228 232304 348456 464608 696912 1147001 1393824 2294002 3441003 4588004 6882006 9176008 13764012 18352016 27528024 36704032 55056048 110112096