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10517441 = 112175113
BaseRepresentation
bin101000000111…
…101111000001
3201210100012212
4220013233001
510143024231
61013231505
7155253044
oct50075701
921710185
1010517441
115a33a00
123632595
13224324c
14157ac5b
15dcb42b
hexa07bc1

10517441 has 12 divisors (see below), whose sum is σ = 12242916. Its totient is φ = 8997120.

The previous prime is 10517411. The next prime is 10517447. The reversal of 10517441 is 14471501.

It is a happy number.

10517441 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3254416 + 7263025 = 1804^2 + 2695^2 .

It is a de Polignac number, because none of the positive numbers 2k-10517441 is a prime.

It is a super-2 number, since 2×105174412 = 221233130376962, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10517447) 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, 500 + ... + 4613.

It is an arithmetic number, because the mean of its divisors is an integer number (1020243).

Almost surely, 210517441 is an apocalyptic number.

10517441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10517441 is a deficient number, since it is larger than the sum of its proper divisors (1725475).

10517441 is a wasteful number, since it uses less digits than its factorization.

10517441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5152 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 10517441 is about 3243.0604373030. The cubic root of 10517441 is about 219.0971330900.

Adding to 10517441 its reverse (14471501), we get a palindrome (24988942).

It can be divided in two parts, 105174 and 41, that multiplied together give a palindrome (4312134).

The spelling of 10517441 in words is "ten million, five hundred seventeen thousand, four hundred forty-one".

Divisors: 1 11 17 121 187 2057 5113 56243 86921 618673 956131 10517441