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10626728 = 237227109
BaseRepresentation
bin101000100010…
…011010101000
3201222220010112
4220202122220
510210023403
61015433452
7156216500
oct50423250
921886115
1010626728
115aa9022
123685888
132280c08
1415a8a00
15ded9d8
hexa226a8

10626728 has 24 divisors (see below), whose sum is σ = 23179050. Its totient is φ = 4554144.

The previous prime is 10626727. The next prime is 10626761. The reversal of 10626728 is 82762601.

It can be written as a sum of positive squares in only one way, i.e., 9746884 + 879844 = 3122^2 + 938^2 .

It is a super-2 number, since 2×106267282 = 225854695971968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10626694 and 10626703.

It is not an unprimeable number, because it can be changed into a prime (10626727) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13163 + ... + 13946.

Almost surely, 210626728 is an apocalyptic number.

It is an amenable number.

10626728 is an abundant number, since it is smaller than the sum of its proper divisors (12552322).

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

10626728 is a wasteful number, since it uses less digits than its factorization.

10626728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27129 (or 27118 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 10626728 is about 3259.8662549252. The cubic root of 10626728 is about 219.8534009567.

The spelling of 10626728 in words is "ten million, six hundred twenty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 27109 54218 108436 189763 216872 379526 759052 1328341 1518104 2656682 5313364 10626728