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12068 = 227431
BaseRepresentation
bin10111100100100
3121112222
42330210
5341233
6131512
750120
oct27444
917488
1012068
119081
126b98
135654
144580
153898
hex2f24

12068 has 12 divisors (see below), whose sum is σ = 24192. Its totient is φ = 5160.

The previous prime is 12049. The next prime is 12071. The reversal of 12068 is 86021.

12068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

12068 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

12068 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 188 + ... + 243.

It is an arithmetic number, because the mean of its divisors is an integer number (2016).

212068 is an apocalyptic number.

It is an amenable number.

12068 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096).

12068 is a wasteful number, since it uses less digits than its factorization.

12068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 12068 is about 109.8544491589. The cubic root of 12068 is about 22.9374481830.

Adding to 12068 its reverse (86021), we get a palindrome (98089).

The spelling of 12068 in words is "twelve thousand, sixty-eight".

Divisors: 1 2 4 7 14 28 431 862 1724 3017 6034 12068