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113604288 = 2637181467
BaseRepresentation
bin1101100010101…
…11011011000000
321220202200210020
412301113123000
5213040314123
615134533440
72546422560
oct661273300
9256680706
10113604288
1159143646
1232067280
131a6c7a95
1411132da0
159e907e3
hex6c576c0

113604288 has 112 divisors (see below), whose sum is σ = 346155264. Its totient is φ = 32209920.

The previous prime is 113604277. The next prime is 113604301. The reversal of 113604288 is 882406311.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 243031 + ... + 243497.

It is an arithmetic number, because the mean of its divisors is an integer number (3090672).

Almost surely, 2113604288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113604288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173077632).

113604288 is an abundant number, since it is smaller than the sum of its proper divisors (232550976).

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

113604288 is a wasteful number, since it uses less digits than its factorization.

113604288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 113604288 is about 10658.5312308967. The cubic root of 113604288 is about 484.3190756273.

The spelling of 113604288 in words is "one hundred thirteen million, six hundred four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 181 192 224 336 362 448 467 543 672 724 934 1086 1267 1344 1401 1448 1868 2172 2534 2802 2896 3269 3736 3801 4344 5068 5604 5792 6538 7472 7602 8688 9807 10136 11208 11584 13076 14944 15204 17376 19614 20272 22416 26152 29888 30408 34752 39228 40544 44832 52304 60816 78456 81088 84527 89664 104608 121632 156912 169054 209216 243264 253581 313824 338108 507162 591689 627648 676216 1014324 1183378 1352432 1775067 2028648 2366756 2704864 3550134 4057296 4733512 5409728 7100268 8114592 9467024 14200536 16229184 18934048 28401072 37868096 56802144 113604288