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113462500 = 225529313
BaseRepresentation
bin1101100001101…
…00110011100100
321220111111021211
412300310303210
5213021300000
615131521204
72545262314
oct660646344
9256444254
10113462500
1159057068
1231bb9204
131a678398
14110d7444
159e637ba
hex6c34ce4

113462500 has 72 divisors (see below), whose sum is σ = 257561640. Its totient is φ = 43680000.

The previous prime is 113462483. The next prime is 113462527. The reversal of 113462500 is 5264311.

It can be written as a sum of positive squares in 12 ways, for example, as 103388224 + 10074276 = 10168^2 + 3174^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 362344 + ... + 362656.

It is an arithmetic number, because the mean of its divisors is an integer number (3577245).

Almost surely, 2113462500 is an apocalyptic number.

113462500 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 113462500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128780820).

113462500 is an abundant number, since it is smaller than the sum of its proper divisors (144099140).

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

113462500 is an equidigital number, since it uses as much as digits as its factorization.

113462500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 113462500 is about 10651.8777687317. The cubic root of 113462500 is about 484.1175010122.

The spelling of 113462500 in words is "one hundred thirteen million, four hundred sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 250 290 313 500 580 625 626 725 1250 1252 1450 1565 2500 2900 3125 3130 3625 6250 6260 7250 7825 9077 12500 14500 15650 18125 18154 31300 36250 36308 39125 45385 72500 78250 90625 90770 156500 181250 181540 195625 226925 362500 391250 453850 782500 907700 978125 1134625 1956250 2269250 3912500 4538500 5673125 11346250 22692500 28365625 56731250 113462500