Base | Representation |
---|---|
bin | 110000001100… |
… | …110000100000 |
3 | 212202221012012 |
4 | 300030300200 |
5 | 11213311133 |
6 | 1130452052 |
7 | 212253140 |
oct | 60146040 |
9 | 25687165 |
10 | 12635168 |
11 | 714aa97 |
12 | 4294028 |
13 | 2805140 |
14 | 196c920 |
15 | 1198b48 |
hex | c0cc20 |
12635168 has 48 divisors (see below), whose sum is σ = 30623040. Its totient is φ = 4997376.
The previous prime is 12635159. The next prime is 12635219. The reversal of 12635168 is 86153621.
It is a happy number.
It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a congruent number.
It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 743 + ... + 5081.
It is an arithmetic number, because the mean of its divisors is an integer number (637980).
Almost surely, 212635168 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12635168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15311520).
12635168 is an abundant number, since it is smaller than the sum of its proper divisors (17987872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12635168 is a wasteful number, since it uses less digits than its factorization.
12635168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4369 (or 4361 counting only the distinct ones).
The product of its digits is 8640, while the sum is 32.
The square root of 12635168 is about 3554.5981488770. The cubic root of 12635168 is about 232.9129701308.
Adding to 12635168 its reverse (86153621), we get a palindrome (98788789).
The spelling of 12635168 in words is "twelve million, six hundred thirty-five thousand, one hundred sixty-eight".
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