Search a number
-
+
12168005 = 517375373
BaseRepresentation
bin101110011010…
…101101000101
3211220012100212
4232122231011
511103334010
61112445205
7205266143
oct56325505
924805325
1012168005
116961003
1240a9805
1326a0605
14188a593
151105505
hexb9ab45

12168005 has 32 divisors (see below), whose sum is σ = 16399584. Its totient is φ = 8626176.

The previous prime is 12168001. The next prime is 12168007. The reversal of 12168005 is 50086121.

It can be written as a sum of positive squares in 16 ways, for example, as 43681 + 12124324 = 209^2 + 3482^2 .

It is a cyclic number.

It is not a de Polignac number, because 12168005 - 22 = 12168001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12168001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166649 + ... + 166721.

It is an arithmetic number, because the mean of its divisors is an integer number (512487).

Almost surely, 212168005 is an apocalyptic number.

It is an amenable number.

12168005 is a deficient number, since it is larger than the sum of its proper divisors (4231579).

12168005 is a wasteful number, since it uses less digits than its factorization.

12168005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185.

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 12168005 is about 3488.2667615881. The cubic root of 12168005 is about 230.0063325289.

The spelling of 12168005 in words is "twelve million, one hundred sixty-eight thousand, five".

Divisors: 1 5 17 37 53 73 85 185 265 365 629 901 1241 1961 2701 3145 3869 4505 6205 9805 13505 19345 33337 45917 65773 143153 166685 229585 328865 715765 2433601 12168005