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112088340 = 223357132281
BaseRepresentation
bin1101010111001…
…01010100010100
321210220200022000
412223211110110
5212143311330
615042235300
72530510110
oct653452424
9253820260
10112088340
11582a86a1
1231655b30
131a2b6a80
1410c5a740
159c91560
hex6ae5514

112088340 has 192 divisors, whose sum is σ = 429381120. Its totient is φ = 23639040.

The previous prime is 112088329. The next prime is 112088341. The reversal of 112088340 is 43880211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112088341) by changing a digit.

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, 48000 + ... + 50280.

It is an arithmetic number, because the mean of its divisors is an integer number (2236360).

Almost surely, 2112088340 is an apocalyptic number.

112088340 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 112088340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214690560).

112088340 is an abundant number, since it is smaller than the sum of its proper divisors (317292780).

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

112088340 is a wasteful number, since it uses less digits than its factorization.

112088340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 112088340 is about 10587.1780942799. The cubic root of 112088340 is about 482.1551528434.

The spelling of 112088340 in words is "one hundred twelve million, eighty-eight thousand, three hundred forty".