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10628625 = 35374049
BaseRepresentation
bin101000100010…
…111000010001
3201222222201210
4220202320101
510210104000
61015450333
7156225150
oct50427021
921888653
1010628625
115aaa497
1236869a9
132281a37
1415a9597
15dee350
hexa22e11

10628625 has 32 divisors (see below), whose sum is σ = 20217600. Its totient is φ = 4857600.

The previous prime is 10628623. The next prime is 10628641. The reversal of 10628625 is 52682601.

It is not a de Polignac number, because 10628625 - 21 = 10628623 is a prime.

It is a super-2 number, since 2×106286252 = 225935338781250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10628592 and 10628601.

It is not an unprimeable number, because it can be changed into a prime (10628623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601 + ... + 4649.

It is an arithmetic number, because the mean of its divisors is an integer number (631800).

Almost surely, 210628625 is an apocalyptic number.

10628625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10628625 is a deficient number, since it is larger than the sum of its proper divisors (9588975).

10628625 is an equidigital number, since it uses as much as digits as its factorization.

10628625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 10628625 is about 3260.1572047986. The cubic root of 10628625 is about 219.8664823456.

The spelling of 10628625 in words is "ten million, six hundred twenty-eight thousand, six hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 125 175 375 525 875 2625 4049 12147 20245 28343 60735 85029 101225 141715 303675 425145 506125 708575 1518375 2125725 3542875 10628625