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104918593 = 1373110557
BaseRepresentation
bin1100100000011…
…10111001000001
321022102102020211
412100032321001
5203324343333
614224434121
72412536053
oct620167101
9238372224
10104918593
115425098a
122b178941
1318976510
14dd118d3
159326ecd
hex640ee41

104918593 has 8 divisors (see below), whose sum is σ = 114538088. Its totient is φ = 95520384.

The previous prime is 104918591. The next prime is 104918599. The reversal of 104918593 is 395819401.

It can be written as a sum of positive squares in 4 ways, for example, as 204304 + 104714289 = 452^2 + 10233^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 104918593 - 21 = 104918591 is a prime.

It is a super-2 number, since 2×1049185932 = 22015822314199298, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104918591) 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 7 ways as a sum of consecutive naturals, for example, 54330 + ... + 56227.

It is an arithmetic number, because the mean of its divisors is an integer number (14317261).

Almost surely, 2104918593 is an apocalyptic number.

104918593 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

104918593 is a deficient number, since it is larger than the sum of its proper divisors (9619495).

104918593 is a wasteful number, since it uses less digits than its factorization.

104918593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110643.

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 104918593 is about 10242.9777408720. The cubic root of 104918593 is about 471.6474448223.

The spelling of 104918593 in words is "one hundred four million, nine hundred eighteen thousand, five hundred ninety-three".

Divisors: 1 13 73 949 110557 1437241 8070661 104918593