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10628035 = 51131597
BaseRepresentation
bin101000100010…
…101111000011
3201222221220221
4220202233003
510210044120
61015443511
7156223345
oct50425703
921887827
1010628035
115aaa000
123686597
1322816a2
1415a9295
15dee0aa
hexa22bc3

10628035 has 16 divisors (see below), whose sum is σ = 14036832. Its totient is φ = 7724640.

The previous prime is 10628027. The next prime is 10628039. The reversal of 10628035 is 53082601.

It is a happy number.

It is not a de Polignac number, because 10628035 - 23 = 10628027 is a prime.

It is a super-2 number, since 2×106280352 = 225910255922450, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10628039) 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 15 ways as a sum of consecutive naturals, for example, 5857 + ... + 7453.

It is an arithmetic number, because the mean of its divisors is an integer number (877302).

Almost surely, 210628035 is an apocalyptic number.

10628035 is the 2662-nd pentagonal number.

10628035 is a deficient number, since it is larger than the sum of its proper divisors (3408797).

10628035 is an equidigital number, since it uses as much as digits as its factorization.

10628035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 10628035 is about 3260.0667171087. The cubic root of 10628035 is about 219.8624139729.

The spelling of 10628035 in words is "ten million, six hundred twenty-eight thousand, thirty-five".

Divisors: 1 5 11 55 121 605 1331 1597 6655 7985 17567 87835 193237 966185 2125607 10628035