Search a number
-
+
12693 = 34231
BaseRepresentation
bin11000110010101
3122102010
43012111
5401233
6134433
752002
oct30625
918363
1012693
11959a
127419
135a15
1448a9
153b63
hex3195

12693 has 4 divisors (see below), whose sum is σ = 16928. Its totient is φ = 8460.

The previous prime is 12689. The next prime is 12697. The reversal of 12693 is 39621.

12693 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 is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (12689) and next prime (12697).

It is not a de Polignac number, because 12693 - 22 = 12689 is a prime.

It is a super-2 number, since 2×126932 = 322224498, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12697) 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 3 ways as a sum of consecutive naturals, for example, 2113 + ... + 2118.

It is an arithmetic number, because the mean of its divisors is an integer number (4232).

212693 is an apocalyptic number.

It is an amenable number.

12693 is a deficient number, since it is larger than the sum of its proper divisors (4235).

12693 is an equidigital number, since it uses as much as digits as its factorization.

12693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4234.

The product of its digits is 324, while the sum is 21.

The square root of 12693 is about 112.6632149373. The cubic root of 12693 is about 23.3267782040.

The spelling of 12693 in words is "twelve thousand, six hundred ninety-three".

Divisors: 1 3 4231 12693