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112276320 = 25351319947
BaseRepresentation
bin1101011000100…
…11001101100000
321211021020011020
412230103031200
5212220320240
615050245440
72532222132
oct654231540
9254236136
10112276320
1158416952
1231726880
131a3514c0
1410ca9052
159ccc0d0
hex6b13360

112276320 has 192 divisors, whose sum is σ = 401345280. Its totient is φ = 26155008.

The previous prime is 112276309. The next prime is 112276331. The reversal of 112276320 is 23672211.

It is an interprime number because it is at equal distance from previous prime (112276309) and next prime (112276331).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118087 + ... + 119033.

It is an arithmetic number, because the mean of its divisors is an integer number (2090340).

Almost surely, 2112276320 is an apocalyptic number.

112276320 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 112276320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200672640).

112276320 is an abundant number, since it is smaller than the sum of its proper divisors (289068960).

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

112276320 is a wasteful number, since it uses less digits than its factorization.

112276320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 112276320 is about 10596.0520950022. The cubic root of 112276320 is about 482.4245382984.

The spelling of 112276320 in words is "one hundred twelve million, two hundred seventy-six thousand, three hundred twenty".