Search a number
-
+
12828164 = 223207041
BaseRepresentation
bin110000111011…
…111000000100
3220010201221012
4300323320010
511241000124
61134541352
7214015616
oct60737004
926121835
1012828164
117271a98
124367858
132871c3b
1419bcdb6
1511d5e0e
hexc3be04

12828164 has 6 divisors (see below), whose sum is σ = 22449294. Its totient is φ = 6414080.

The previous prime is 12828161. The next prime is 12828187. The reversal of 12828164 is 46182821.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 11505664 + 1322500 = 3392^2 + 1150^2 .

It is a super-3 number, since 3×128281643 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12828164.

It is not an unprimeable number, because it can be changed into a prime (12828161) 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 as a sum of consecutive naturals, namely, 1603517 + ... + 1603524.

It is an arithmetic number, because the mean of its divisors is an integer number (3741549).

Almost surely, 212828164 is an apocalyptic number.

It is an amenable number.

12828164 is a deficient number, since it is larger than the sum of its proper divisors (9621130).

12828164 is a wasteful number, since it uses less digits than its factorization.

12828164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3207045 (or 3207043 counting only the distinct ones).

The product of its digits is 6144, while the sum is 32.

The square root of 12828164 is about 3581.6426399070. The cubic root of 12828164 is about 234.0928601179.

The spelling of 12828164 in words is "twelve million, eight hundred twenty-eight thousand, one hundred sixty-four".

Divisors: 1 2 4 3207041 6414082 12828164