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10459393 = 721131889
BaseRepresentation
bin100111111001…
…100100000001
3201200101120221
4213321210001
510134200033
61012103041
7154621600
oct47714401
921611527
1010459393
1159a432a
123604a81
1322229b9
141563a37
15db912d
hex9f9901

10459393 has 12 divisors (see below), whose sum is σ = 12281220. Its totient is φ = 8881152.

The previous prime is 10459381. The next prime is 10459409. The reversal of 10459393 is 39395401.

10459393 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 1979649 + 8479744 = 1407^2 + 2912^2 .

It is a de Polignac number, because none of the positive numbers 2k-10459393 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10459373) 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, 4593 + ... + 6481.

It is an arithmetic number, because the mean of its divisors is an integer number (1023435).

Almost surely, 210459393 is an apocalyptic number.

It is an amenable number.

10459393 is a deficient number, since it is larger than the sum of its proper divisors (1821827).

10459393 is a wasteful number, since it uses less digits than its factorization.

10459393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 10459393 is about 3234.0984833490. The cubic root of 10459393 is about 218.6933079754.

The spelling of 10459393 in words is "ten million, four hundred fifty-nine thousand, three hundred ninety-three".

Divisors: 1 7 49 113 791 1889 5537 13223 92561 213457 1494199 10459393