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113488200 = 23325279007
BaseRepresentation
bin1101100001110…
…11000101001000
321220112210112200
412300323011020
5213023110300
615132240200
72545430250
oct660730510
9256483480
10113488200
1159074401
1232010060
131a686ca7
1411102960
159e6b200
hex6c3b148

113488200 has 144 divisors (see below), whose sum is σ = 435626880. Its totient is φ = 25937280.

The previous prime is 113488171. The next prime is 113488231. The reversal of 113488200 is 2884311.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8097 + ... + 17103.

Almost surely, 2113488200 is an apocalyptic number.

113488200 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 113488200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217813440).

113488200 is an abundant number, since it is smaller than the sum of its proper divisors (322138680).

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

113488200 is a wasteful number, since it uses less digits than its factorization.

113488200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9036 (or 9024 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 113488200 is about 10653.0840604963. The cubic root of 113488200 is about 484.1540501819.

The spelling of 113488200 in words is "one hundred thirteen million, four hundred eighty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 9007 12600 18014 27021 36028 45035 54042 63049 72056 81063 90070 108084 126098 135105 162126 180140 189147 216168 225175 252196 270210 315245 324252 360280 378294 405315 450350 504392 540420 567441 630490 648504 675525 756588 810630 900700 945735 1080840 1134882 1260980 1351050 1513176 1576225 1621260 1801400 1891470 2026575 2269764 2521960 2702100 2837205 3152450 3242520 3782940 4053150 4539528 4728675 5404200 5674410 6304900 7565880 8106300 9457350 11348820 12609800 14186025 16212600 18914700 22697640 28372050 37829400 56744100 113488200