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12493 = 13312
BaseRepresentation
bin11000011001101
3122010201
43003031
5344433
6133501
751265
oct30315
918121
1012493
119428
127291
1358c0
1447a5
153a7d
hex30cd

12493 has 6 divisors (see below), whose sum is σ = 13902. Its totient is φ = 11160.

The previous prime is 12491. The next prime is 12497. The reversal of 12493 is 39421.

It can be divided in two parts, 12 and 493, that added together give a palindrome (505).

12493 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8649 + 3844 = 93^2 + 62^2 .

It is not a de Polignac number, because 12493 - 21 = 12491 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12493.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 388 + ... + 418.

It is an arithmetic number, because the mean of its divisors is an integer number (2317).

12493 is a Friedman number, since it can be written as 31^2*(9+4), using all its digits and the basic arithmetic operations.

212493 is an apocalyptic number.

12493 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12493 is a deficient number, since it is larger than the sum of its proper divisors (1409).

12493 is an equidigital number, since it uses as much as digits as its factorization.

12493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 44 counting only the distinct ones).

The product of its digits is 216, while the sum is 19.

The square root of 12493 is about 111.7720895394. The cubic root of 12493 is about 23.2036112096.

The spelling of 12493 in words is "twelve thousand, four hundred ninety-three".

Divisors: 1 13 31 403 961 12493