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112136024 = 237112131967
BaseRepresentation
bin1101010111100…
…00111101011000
321211000002201002
412223300331120
5212201323044
615043244132
72531066120
oct653607530
9254002632
10112136024
1158330500
1231679648
131a3026a0
1410c6dc80
159ca074e
hex6af0f58

112136024 has 192 divisors, whose sum is σ = 303878400. Its totient is φ = 37635840.

The previous prime is 112136023. The next prime is 112136111. The reversal of 112136024 is 420631211.

112136024 = 4022 + 4032 + ... + 7372.

It is a junction number, because it is equal to n+sod(n) for n = 112135987 and 112136005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112136023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1673639 + ... + 1673705.

It is an arithmetic number, because the mean of its divisors is an integer number (1582700).

Almost surely, 2112136024 is an apocalyptic number.

112136024 is a gapful number since it is divisible by the number (14) 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 112136024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151939200).

112136024 is an abundant number, since it is smaller than the sum of its proper divisors (191742376).

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

112136024 is a wasteful number, since it uses less digits than its factorization.

112136024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 112136024 is about 10589.4298241218. The cubic root of 112136024 is about 482.2235150740.

Adding to 112136024 its reverse (420631211), we get a palindrome (532767235).

The spelling of 112136024 in words is "one hundred twelve million, one hundred thirty-six thousand, twenty-four".