Base | Representation |
---|---|
bin | 101101110111… |
… | …100100000000 |
3 | 211121212220201 |
4 | 231313210000 |
5 | 11034232224 |
6 | 1105414544 |
7 | 204126403 |
oct | 55674400 |
9 | 24555821 |
10 | 12024064 |
11 | 6872948 |
12 | 403a454 |
13 | 264cc40 |
14 | 184dd3a |
15 | 10c7a44 |
hex | b77900 |
12024064 has 36 divisors (see below), whose sum is σ = 25854556. Its totient is φ = 5548032.
The previous prime is 12024053. The next prime is 12024073. The reversal of 12024064 is 46042021.
It can be written as a sum of positive squares in 2 ways, for example, as 518400 + 11505664 = 720^2 + 3392^2 .
It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.
It is an unprimeable number.
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 in 3 ways as a sum of consecutive naturals, for example, 1522 + ... + 5134.
Almost surely, 212024064 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 12024064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12927278).
12024064 is an abundant number, since it is smaller than the sum of its proper divisors (13830492).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12024064 is an equidigital number, since it uses as much as digits as its factorization.
12024064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3642 (or 3628 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 19.
The square root of 12024064 is about 3467.5732148002. The cubic root of 12024064 is about 229.0957819039.
Adding to 12024064 its reverse (46042021), we get a palindrome (58066085).
The spelling of 12024064 in words is "twelve million, twenty-four thousand, sixty-four".
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