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113415200 = 2552141769
BaseRepresentation
bin1101100001010…
…01010000100000
321220102002101222
412300221100200
5213013241300
615130514212
72545004363
oct660512040
9256362358
10113415200
1159024578
1231b95968
131a65c9b2
14110c40da
159e54785
hex6c29420

113415200 has 36 divisors (see below), whose sum is σ = 276876810. Its totient is φ = 45365760.

The previous prime is 113415173. The next prime is 113415221. The reversal of 113415200 is 2514311.

It can be written as a sum of positive squares in 3 ways, for example, as 95335696 + 18079504 = 9764^2 + 4252^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70085 + ... + 71684.

Almost surely, 2113415200 is an apocalyptic number.

113415200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113415200 is an abundant number, since it is smaller than the sum of its proper divisors (163461610).

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

113415200 is a wasteful number, since it uses less digits than its factorization.

113415200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141789 (or 141776 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 113415200 is about 10649.6572714806. The cubic root of 113415200 is about 484.0502190453.

Adding to 113415200 its reverse (2514311), we get a palindrome (115929511).

The spelling of 113415200 in words is "one hundred thirteen million, four hundred fifteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 141769 283538 567076 708845 1134152 1417690 2268304 2835380 3544225 4536608 5670760 7088450 11341520 14176900 22683040 28353800 56707600 113415200