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112880824 = 23719277383
BaseRepresentation
bin1101011101001…
…10110010111000
321212101221101021
412232212302320
5212344141244
615111232224
72540320420
oct656466270
9255357337
10112880824
115879a041
1231978674
131a5036b4
1410dc5480
159d9b284
hex6ba6cb8

112880824 has 64 divisors (see below), whose sum is σ = 256204800. Its totient is φ = 45546624.

The previous prime is 112880813. The next prime is 112880861. The reversal of 112880824 is 428088211.

It is a self number, because there is not a number n which added to its sum of digits gives 112880824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294537 + ... + 294919.

It is an arithmetic number, because the mean of its divisors is an integer number (4003200).

Almost surely, 2112880824 is an apocalyptic number.

112880824 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 112880824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128102400).

112880824 is an abundant number, since it is smaller than the sum of its proper divisors (143323976).

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

112880824 is a wasteful number, since it uses less digits than its factorization.

112880824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 112880824 is about 10624.5387664595. The cubic root of 112880824 is about 483.2887921962.

The spelling of 112880824 in words is "one hundred twelve million, eight hundred eighty thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 277 383 532 554 766 1064 1108 1532 1939 2216 2681 3064 3878 5263 5362 7277 7756 10526 10724 14554 15512 21052 21448 29108 36841 42104 50939 58216 73682 101878 106091 147364 203756 212182 294728 407512 424364 742637 848728 1485274 2015729 2970548 4031458 5941096 8062916 14110103 16125832 28220206 56440412 112880824