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112351680 = 2632575573
BaseRepresentation
bin1101011001001…
…01100111000000
321211102001112100
412230211213000
5212230223210
615052030400
72532654630
oct654454700
9254361470
10112351680
1158468531
1231762400
131a3798ac
1410cc86c0
159ce45c0
hex6b259c0

112351680 has 168 divisors, whose sum is σ = 441728352. Its totient is φ = 25675776.

The previous prime is 112351651. The next prime is 112351727. The reversal of 112351680 is 86153211.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17374 + ... + 22946.

Almost surely, 2112351680 is an apocalyptic number.

112351680 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 112351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220864176).

112351680 is an abundant number, since it is smaller than the sum of its proper divisors (329376672).

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

112351680 is a wasteful number, since it uses less digits than its factorization.

112351680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603 (or 5590 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 112351680 is about 10599.6075399045. The cubic root of 112351680 is about 482.5324488007.

The spelling of 112351680 in words is "one hundred twelve million, three hundred fifty-one thousand, six hundred eighty".