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10517193 = 326119157
BaseRepresentation
bin101000000111…
…101011001001
3201210022212200
4220013223021
510143022233
61013230413
7155252241
oct50075311
921708780
1010517193
115a337a5
123632409
1322430bb
14157ab21
15dcb313
hexa07ac9

10517193 has 12 divisors (see below), whose sum is σ = 15441348. Its totient is φ = 6896160.

The previous prime is 10517173. The next prime is 10517201. The reversal of 10517193 is 39171501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 328329 + 10188864 = 573^2 + 3192^2 .

It is not a de Polignac number, because 10517193 - 210 = 10516169 is a prime.

It is a super-2 number, since 2×105171932 = 221222697198498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10517173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9030 + ... + 10127.

It is an arithmetic number, because the mean of its divisors is an integer number (1286779).

Almost surely, 210517193 is an apocalyptic number.

It is an amenable number.

10517193 is a deficient number, since it is larger than the sum of its proper divisors (4924155).

10517193 is a wasteful number, since it uses less digits than its factorization.

10517193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19224 (or 19221 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The square root of 10517193 is about 3243.0222015891. The cubic root of 10517193 is about 219.0954109818.

Adding to 10517193 its reverse (39171501), we get a palindrome (49688694).

The spelling of 10517193 in words is "ten million, five hundred seventeen thousand, one hundred ninety-three".

Divisors: 1 3 9 61 183 549 19157 57471 172413 1168577 3505731 10517193