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113664200 = 23521343717
BaseRepresentation
bin1101100011001…
…10000011001000
321220212201222012
412301212003020
5213044223300
615140115052
72550062336
oct661460310
9256781865
10113664200
1159184661
1232095a88
131a719130
141114ab56
159ea3435
hex6c660c8

113664200 has 48 divisors (see below), whose sum is σ = 284604180. Its totient is φ = 41967360.

The previous prime is 113664169. The next prime is 113664211. The reversal of 113664200 is 2466311.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 59876644 + 53787556 = 7738^2 + 7334^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19259 + ... + 24458.

Almost surely, 2113664200 is an apocalyptic number.

113664200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113664200 is an abundant number, since it is smaller than the sum of its proper divisors (170939980).

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

113664200 is a wasteful number, since it uses less digits than its factorization.

113664200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43746 (or 43737 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 113664200 is about 10661.3413790198. The cubic root of 113664200 is about 484.4041998353.

The spelling of 113664200 in words is "one hundred thirteen million, six hundred sixty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 43717 87434 174868 218585 349736 437170 568321 874340 1092925 1136642 1748680 2185850 2273284 2841605 4371700 4546568 5683210 8743400 11366420 14208025 22732840 28416050 56832100 113664200