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10688325 = 3521783101
BaseRepresentation
bin101000110001…
…011101000101
3202010000121220
4220301131011
510214011300
61021030553
7156564204
oct50613505
922100556
1010688325
11604032a
1236b5459
1322a2c6b
1415c323b
15e11da0
hexa31745

10688325 has 48 divisors (see below), whose sum is σ = 19123776. Its totient is φ = 5248000.

The previous prime is 10688323. The next prime is 10688339. The reversal of 10688325 is 52388601.

It is a happy number.

It is not a de Polignac number, because 10688325 - 21 = 10688323 is a prime.

It is a super-2 number, since 2×106883252 = 228480582611250, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10688323) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 105775 + ... + 105875.

It is an arithmetic number, because the mean of its divisors is an integer number (398412).

Almost surely, 210688325 is an apocalyptic number.

10688325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10688325 is a deficient number, since it is larger than the sum of its proper divisors (8435451).

10688325 is a wasteful number, since it uses less digits than its factorization.

10688325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 10688325 is about 3269.3003838742. The cubic root of 10688325 is about 220.2773705368.

The spelling of 10688325 in words is "ten million, six hundred eighty-eight thousand, three hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 83 85 101 249 255 303 415 425 505 1245 1275 1411 1515 1717 2075 2525 4233 5151 6225 7055 7575 8383 8585 21165 25149 25755 35275 41915 42925 105825 125745 128775 142511 209575 427533 628725 712555 2137665 3562775 10688325