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10528385 = 574877
BaseRepresentation
bin101000001010…
…011010000001
3201210220020012
4220022122001
510143402020
61013354305
7155330000
oct50123201
921726205
1010528385
115a4114a
123638995
13224821a
141580c37
15dce7c5
hexa0a681

10528385 has 20 divisors (see below), whose sum is σ = 14755668. Its totient is φ = 7211232.

The previous prime is 10528367. The next prime is 10528403. The reversal of 10528385 is 58382501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10528367) and next prime (10528403).

It can be written as a sum of positive squares in 2 ways, for example, as 6492304 + 4036081 = 2548^2 + 2009^2 .

It is not a de Polignac number, because 10528385 - 212 = 10524289 is a prime.

It is a super-2 number, since 2×105283852 = 221693781416450, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11567 + ... + 12443.

Almost surely, 210528385 is an apocalyptic number.

It is an amenable number.

10528385 is a deficient number, since it is larger than the sum of its proper divisors (4227283).

10528385 is an frugal number, since it uses more digits than its factorization.

10528385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 10528385 is about 3244.7472937041. The cubic root of 10528385 is about 219.1731011201.

The spelling of 10528385 in words is "ten million, five hundred twenty-eight thousand, three hundred eighty-five".

Divisors: 1 5 7 35 49 245 343 877 1715 2401 4385 6139 12005 30695 42973 214865 300811 1504055 2105677 10528385