Base | Representation |
---|---|
bin | 110000111110… |
… | …110011101000 |
3 | 220011100101210 |
4 | 300332303220 |
5 | 11241341133 |
6 | 1135113120 |
7 | 214065615 |
oct | 60766350 |
9 | 26140353 |
10 | 12840168 |
11 | 7280010 |
12 | 43727a0 |
13 | 2877543 |
14 | 19c350c |
15 | 11d9763 |
hex | c3ece8 |
12840168 has 64 divisors (see below), whose sum is σ = 37091520. Its totient is φ = 3660800.
The previous prime is 12840133. The next prime is 12840193. The reversal of 12840168 is 86104821.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 3058 + ... + 5918.
It is an arithmetic number, because the mean of its divisors is an integer number (579555).
Almost surely, 212840168 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 12840168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18545760).
12840168 is an abundant number, since it is smaller than the sum of its proper divisors (24251352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12840168 is a wasteful number, since it uses less digits than its factorization.
12840168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2898 (or 2894 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 30.
The square root of 12840168 is about 3583.3180154711. The cubic root of 12840168 is about 234.1658550958.
Adding to 12840168 its reverse (86104821), we get a palindrome (98944989).
The spelling of 12840168 in words is "twelve million, eight hundred forty thousand, one hundred sixty-eight".
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