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10628835 = 357214461
BaseRepresentation
bin101000100010…
…111011100011
3202000000000120
4220202323203
510210110320
61015451323
7156225600
oct50427343
922000016
1010628835
115aaa668
123686b43
132281b69
1415a96a7
15dee440
hexa22ee3

10628835 has 24 divisors (see below), whose sum is σ = 19784016. Its totient is φ = 4858560.

The previous prime is 10628801. The next prime is 10628837. The reversal of 10628835 is 53882601.

It is a happy number.

10628835 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10628835 - 210 = 10627811 is a prime.

It is a super-2 number, since 2×106288352 = 225944266914450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10628796 and 10628805.

It is not an unprimeable number, because it can be changed into a prime (10628837) 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, 6496 + ... + 7965.

It is an arithmetic number, because the mean of its divisors is an integer number (824334).

Almost surely, 210628835 is an apocalyptic number.

10628835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10628835 is a deficient number, since it is larger than the sum of its proper divisors (9155181).

10628835 is a wasteful number, since it uses less digits than its factorization.

10628835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14483 (or 14476 counting only the distinct ones).

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

The square root of 10628835 is about 3260.1894116753. The cubic root of 10628835 is about 219.8679303742.

The spelling of 10628835 in words is "ten million, six hundred twenty-eight thousand, eight hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 735 14461 43383 72305 101227 216915 303681 506135 708589 1518405 2125767 3542945 10628835