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10640300 = 22521117569
BaseRepresentation
bin101000100101…
…101110101100
3202000120202012
4220211232230
510210442200
61020020352
7156304166
oct50455654
922016665
1010640300
116008240
1236916b8
132287148
1415ad936
15e02a35
hexa25bac

10640300 has 72 divisors (see below), whose sum is σ = 26717040. Its totient is φ = 3635200.

The previous prime is 10640299. The next prime is 10640309. The reversal of 10640300 is 304601.

10640300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106403002 = 226431968180000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10640309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18416 + ... + 18984.

It is an arithmetic number, because the mean of its divisors is an integer number (371070).

Almost surely, 210640300 is an apocalyptic number.

10640300 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 10640300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13358520).

10640300 is an abundant number, since it is smaller than the sum of its proper divisors (16076740).

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

10640300 is a wasteful number, since it uses less digits than its factorization.

10640300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 10640300 is about 3261.9472711863. The cubic root of 10640300 is about 219.9469569090.

Adding to 10640300 its reverse (304601), we get a palindrome (10944901).

The spelling of 10640300 in words is "ten million, six hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 569 748 850 935 1100 1138 1700 1870 2276 2845 3740 4675 5690 6259 9350 9673 11380 12518 14225 18700 19346 25036 28450 31295 38692 48365 56900 62590 96730 106403 125180 156475 193460 212806 241825 312950 425612 483650 532015 625900 967300 1064030 2128060 2660075 5320150 10640300