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10528905 = 353761311
BaseRepresentation
bin101000001010…
…100010001001
3201210220221110
4220022202021
510143411110
61013400533
7155331342
oct50124211
921726843
1010528905
115a41582
123639149
13224852a
1415810c9
15dcea20
hexa0a889

10528905 has 32 divisors (see below), whose sum is σ = 17641728. Its totient is φ = 5356800.

The previous prime is 10528901. The next prime is 10528909. The reversal of 10528905 is 50982501.

It is an interprime number because it is at equal distance from previous prime (10528901) and next prime (10528909).

It is not a de Polignac number, because 10528905 - 22 = 10528901 is a prime.

It is a super-2 number, since 2×105289052 = 221715680998050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (10528901) 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, 33700 + ... + 34010.

It is an arithmetic number, because the mean of its divisors is an integer number (551304).

Almost surely, 210528905 is an apocalyptic number.

10528905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10528905 is a deficient number, since it is larger than the sum of its proper divisors (7112823).

10528905 is a wasteful number, since it uses less digits than its factorization.

10528905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417.

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 10528905 is about 3244.8274222214. The cubic root of 10528905 is about 219.1767094018.

The spelling of 10528905 in words is "ten million, five hundred twenty-eight thousand, nine hundred five".

Divisors: 1 3 5 15 37 61 111 183 185 305 311 555 915 933 1555 2257 4665 6771 11285 11507 18971 33855 34521 56913 57535 94855 172605 284565 701927 2105781 3509635 10528905