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112407240 = 233511314167
BaseRepresentation
bin1101011001100…
…11001011001000
321211111212202010
412230303023020
5212234012430
615053135520
72533305621
oct654631310
9254455663
10112407240
11584a6250
123178a5a0
131a398c7a
1410d00a48
159d05cb0
hex6b332c8

112407240 has 256 divisors, whose sum is σ = 394813440. Its totient is φ = 25344000.

The previous prime is 112407157. The next prime is 112407257. The reversal of 112407240 is 42704211.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1677687 + ... + 1677753.

It is an arithmetic number, because the mean of its divisors is an integer number (1542240).

Almost surely, 2112407240 is an apocalyptic number.

112407240 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 112407240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197406720).

112407240 is an abundant number, since it is smaller than the sum of its proper divisors (282406200).

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

112407240 is a wasteful number, since it uses less digits than its factorization.

112407240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 112407240 is about 10602.2280677224. The cubic root of 112407240 is about 482.6119761231.

The spelling of 112407240 in words is "one hundred twelve million, four hundred seven thousand, two hundred forty".