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10517056 = 261114939
BaseRepresentation
bin101000000111…
…101001000000
3201210022200121
4220013221000
510143021211
61013230024
7155251654
oct50075100
921708617
1010517056
115a33690
123632314
132243014
14157aa64
15dcb271
hexa07a40

10517056 has 28 divisors (see below), whose sum is σ = 22768560. Its totient is φ = 4780160.

The previous prime is 10517047. The next prime is 10517063. The reversal of 10517056 is 65071501.

It is a super-2 number, since 2×105170562 = 221216933814272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10517056.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6766 + ... + 8173.

Almost surely, 210517056 is an apocalyptic number.

10517056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10517056 is an abundant number, since it is smaller than the sum of its proper divisors (12251504).

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

10517056 is a wasteful number, since it uses less digits than its factorization.

10517056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14962 (or 14952 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 10517056 is about 3243.0010792474. The cubic root of 10517056 is about 219.0944596442.

Adding to 10517056 its reverse (65071501), we get a palindrome (75588557).

It can be divided in two parts, 105 and 17056, that added together give a square (17161 = 1312).

The spelling of 10517056 in words is "ten million, five hundred seventeen thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 14939 29878 59756 119512 164329 239024 328658 478048 657316 956096 1314632 2629264 5258528 10517056