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112375872 = 2632747593
BaseRepresentation
bin1101011001010…
…11100001000000
321211110021201100
412230223201000
5212232011442
615052334400
72533115310
oct654534100
9254407640
10112375872
1158484724
1231774400
131a3878cb
1410cd3440
159ceb84c
hex6b2b840

112375872 has 168 divisors, whose sum is σ = 376586496. Its totient is φ = 31371264.

The previous prime is 112375859. The next prime is 112375877. The reversal of 112375872 is 278573211.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (112375877) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 189208 + ... + 189800.

Almost surely, 2112375872 is an apocalyptic number.

112375872 is a gapful number since it is divisible by the number (12) 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 112375872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188293248).

112375872 is an abundant number, since it is smaller than the sum of its proper divisors (264210624).

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

112375872 is a wasteful number, since it uses less digits than its factorization.

112375872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 652 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 112375872 is about 10600.7486528075. The cubic root of 112375872 is about 482.5670799021.

The spelling of 112375872 in words is "one hundred twelve million, three hundred seventy-five thousand, eight hundred seventy-two".