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112728896 = 267318117
BaseRepresentation
bin1101011100000…
…01101101000000
321212010012222022
412232001231000
5212324311041
615104101012
72536115450
oct656015500
9255105868
10112728896
11586a5985
1231904768
131a47c4b7
1410d85d60
159d6b24b
hex6b81b40

112728896 has 56 divisors (see below), whose sum is σ = 263932416. Its totient is φ = 46748160.

The previous prime is 112728877. The next prime is 112728937. The reversal of 112728896 is 698827211.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9830 + ... + 17946.

Almost surely, 2112728896 is an apocalyptic number.

112728896 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 112728896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131966208).

112728896 is an abundant number, since it is smaller than the sum of its proper divisors (151203520).

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

112728896 is an equidigital number, since it uses as much as digits as its factorization.

112728896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8167 (or 8157 counting only the distinct ones).

The product of its digits is 96768, while the sum is 44.

The square root of 112728896 is about 10617.3864957437. The cubic root of 112728896 is about 483.0718729623.

The spelling of 112728896 in words is "one hundred twelve million, seven hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 6944 8117 13888 16234 32468 56819 64936 113638 129872 227276 251627 259744 454552 503254 519488 909104 1006508 1761389 1818208 2013016 3522778 3636416 4026032 7045556 8052064 14091112 16104128 28182224 56364448 112728896