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113534200 = 23521323359
BaseRepresentation
bin1101100010001…
…10010011111000
321220122010122101
412301012103320
5213031043300
615133233144
72546011333
oct661062370
9256563571
10113534200
11590a5a1a
12320327b4
131a6a1c00
141111561a
159e79b6a
hex6c464f8

113534200 has 72 divisors (see below), whose sum is σ = 285919200. Its totient is φ = 41907840.

The previous prime is 113534189. The next prime is 113534203. The reversal of 113534200 is 2435311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113534203) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 32121 + ... + 35479.

It is an arithmetic number, because the mean of its divisors is an integer number (3971100).

Almost surely, 2113534200 is an apocalyptic number.

113534200 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 113534200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142959600).

113534200 is an abundant number, since it is smaller than the sum of its proper divisors (172385000).

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

113534200 is a wasteful number, since it uses less digits than its factorization.

113534200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 113534200 is about 10655.2428409680. The cubic root of 113534200 is about 484.2194551549.

Adding to 113534200 its reverse (2435311), we get a palindrome (115969511).

The spelling of 113534200 in words is "one hundred thirteen million, five hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 520 650 676 845 1300 1352 1690 2600 3359 3380 4225 6718 6760 8450 13436 16795 16900 26872 33590 33800 43667 67180 83975 87334 134360 167950 174668 218335 335900 349336 436670 567671 671800 873340 1091675 1135342 1746680 2183350 2270684 2838355 4366700 4541368 5676710 8733400 11353420 14191775 22706840 28383550 56767100 113534200