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112036320 = 25325112643
BaseRepresentation
bin1101010110110…
…00100111100000
321210211000221100
412223120213200
5212140130240
615041154400
72530202334
oct653304740
9253730840
10112036320
1158272600
123162ba00
131a2991a6
1410c457c4
159c80e30
hex6ad89e0

112036320 has 216 divisors, whose sum is σ = 420893928. Its totient is φ = 27118080.

The previous prime is 112036291. The next prime is 112036343. The reversal of 112036320 is 23630211.

112036320 is a `hidden beast` number, since 11 + 20 + 3 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112036293 and 112036302.

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 173919 + ... + 174561.

It is an arithmetic number, because the mean of its divisors is an integer number (1948583).

Almost surely, 2112036320 is an apocalyptic number.

112036320 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 112036320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210446964).

112036320 is an abundant number, since it is smaller than the sum of its proper divisors (308857608).

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

112036320 is a wasteful number, since it uses less digits than its factorization.

112036320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 112036320 is about 10584.7210638732. The cubic root of 112036320 is about 482.0805521841.

Adding to 112036320 its reverse (23630211), we get a palindrome (135666531).

The spelling of 112036320 in words is "one hundred twelve million, thirty-six thousand, three hundred twenty".