Base | Representation |
---|---|
bin | 101101110101… |
… | …001110100000 |
3 | 211121101210100 |
4 | 231311032200 |
5 | 11033430441 |
6 | 1105302400 |
7 | 204056454 |
oct | 55651640 |
9 | 24541710 |
10 | 12014496 |
11 | 686673a |
12 | 4034a00 |
13 | 2648790 |
14 | 184a664 |
15 | 10c4cb6 |
hex | b753a0 |
12014496 has 72 divisors (see below), whose sum is σ = 36805860. Its totient is φ = 3695616.
The previous prime is 12014477. The next prime is 12014503. The reversal of 12014496 is 69441021.
12014496 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 can be written as a sum of positive squares in 2 ways, for example, as 11696400 + 318096 = 3420^2 + 564^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×120144962 = 288696228268032, which contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2140 + ... + 5348.
Almost surely, 212014496 is an apocalyptic number.
12014496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12014496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18402930).
12014496 is an abundant number, since it is smaller than the sum of its proper divisors (24791364).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12014496 is a wasteful number, since it uses less digits than its factorization.
12014496 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3238 (or 3227 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 12014496 is about 3466.1933010148. The cubic root of 12014496 is about 229.0349990683.
The spelling of 12014496 in words is "twelve million, fourteen thousand, four hundred ninety-six".
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