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112975300 = 225229163239
BaseRepresentation
bin1101011101111…
…01110111000100
321212120201222101
412232331313010
5212410202200
615113241444
72541163024
oct656756704
9255521871
10112975300
1158854019
1231a03284
131a5376b9
141100ba84
159db926a
hex6bbddc4

112975300 has 72 divisors (see below), whose sum is σ = 256233600. Its totient is φ = 43182720.

The previous prime is 112975283. The next prime is 112975301. The reversal of 112975300 is 3579211.

It is not an unprimeable number, because it can be changed into a prime (112975301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472581 + ... + 472819.

It is an arithmetic number, because the mean of its divisors is an integer number (3558800).

Almost surely, 2112975300 is an apocalyptic number.

112975300 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 112975300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128116800).

112975300 is an abundant number, since it is smaller than the sum of its proper divisors (143258300).

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

112975300 is a wasteful number, since it uses less digits than its factorization.

112975300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 112975300 is about 10628.9839589680. The cubic root of 112975300 is about 483.4235846792.

The spelling of 112975300 in words is "one hundred twelve million, nine hundred seventy-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 163 239 290 326 478 580 652 725 815 956 1195 1450 1630 2390 2900 3260 4075 4727 4780 5975 6931 8150 9454 11950 13862 16300 18908 23635 23900 27724 34655 38957 47270 69310 77914 94540 118175 138620 155828 173275 194785 236350 346550 389570 472700 693100 779140 973925 1129753 1947850 2259506 3895700 4519012 5648765 11297530 22595060 28243825 56487650 112975300