Base | Representation |
---|---|
bin | 101101110001… |
… | …110110001000 |
3 | 211120200210110 |
4 | 231301312020 |
5 | 11033010043 |
6 | 1105114320 |
7 | 204001212 |
oct | 55616610 |
9 | 24520713 |
10 | 12000648 |
11 | 68572a0 |
12 | 40289a0 |
13 | 264239a |
14 | 18455b2 |
15 | 10c0b33 |
hex | b71d88 |
12000648 has 64 divisors (see below), whose sum is σ = 33073920. Its totient is φ = 3598400.
The previous prime is 12000643. The next prime is 12000661. The reversal of 12000648 is 84600021.
12000648 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is not an unprimeable number, because it can be changed into a prime (12000643) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34411 + ... + 34757.
It is an arithmetic number, because the mean of its divisors is an integer number (516780).
Almost surely, 212000648 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 12000648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16536960).
12000648 is an abundant number, since it is smaller than the sum of its proper divisors (21073272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12000648 is a wasteful number, since it uses less digits than its factorization.
12000648 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 498 (or 494 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 21.
The square root of 12000648 is about 3464.1951446187. The cubic root of 12000648 is about 228.9469694078.
Adding to 12000648 its reverse (84600021), we get a palindrome (96600669).
The spelling of 12000648 in words is "twelve million, six hundred forty-eight", and thus it is an aban number.
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