Base | Representation |
---|---|
bin | 101101110111… |
… | …000011100000 |
3 | 211121210001200 |
4 | 231313003200 |
5 | 11034200414 |
6 | 1105401200 |
7 | 204120342 |
oct | 55670340 |
9 | 24553050 |
10 | 12021984 |
11 | 6871327 |
12 | 4039200 |
13 | 264c000 |
14 | 184d292 |
15 | 10c7109 |
hex | b770e0 |
12021984 has 144 divisors (see below), whose sum is σ = 38984400. Its totient is φ = 3504384.
The previous prime is 12021973. The next prime is 12021991. The reversal of 12021984 is 48912021.
12021984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632727 + ... + 632745.
It is an arithmetic number, because the mean of its divisors is an integer number (270725).
Almost surely, 212021984 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 12021984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19492200).
12021984 is an abundant number, since it is smaller than the sum of its proper divisors (26962416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12021984 is a wasteful number, since it uses less digits than its factorization.
12021984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 74 (or 37 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 27.
The square root of 12021984 is about 3467.2732802593. The cubic root of 12021984 is about 229.0825709877.
The spelling of 12021984 in words is "twelve million, twenty-one thousand, nine hundred eighty-four".
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