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10536520 = 2352411093
BaseRepresentation
bin101000001100…
…011001001000
3201211022101111
4220030121020
510144132040
61013500104
7155362501
oct50143110
921738344
1010536520
115a47275
123641634
13224bb37
141583ba8
15dd1dea
hexa0c648

10536520 has 32 divisors (see below), whose sum is σ = 23827320. Its totient is φ = 4193280.

The previous prime is 10536517. The next prime is 10536521. The reversal of 10536520 is 2563501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10536516 + 4 = 3246^2 + 2^2 .

It is a super-2 number, since 2×105365202 = 222036507420800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10536491 and 10536500.

It is not an unprimeable number, because it can be changed into a prime (10536521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9094 + ... + 10186.

Almost surely, 210536520 is an apocalyptic number.

10536520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10536520 is an abundant number, since it is smaller than the sum of its proper divisors (13290800).

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

10536520 is a wasteful number, since it uses less digits than its factorization.

10536520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 10536520 is about 3246.0006161429. Note that the first 3 decimals coincide. The cubic root of 10536520 is about 219.2295363080.

The spelling of 10536520 in words is "ten million, five hundred thirty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 241 482 964 1093 1205 1928 2186 2410 4372 4820 5465 8744 9640 10930 21860 43720 263413 526826 1053652 1317065 2107304 2634130 5268260 10536520