Base | Representation |
---|---|
bin | 101101111101… |
… | …001111100000 |
3 | 211200001211100 |
4 | 231331033200 |
5 | 11041003303 |
6 | 1110114400 |
7 | 204254256 |
oct | 55751740 |
9 | 24601740 |
10 | 12047328 |
11 | 6889377 |
12 | 404ba00 |
13 | 265a6c7 |
14 | 18585d6 |
15 | 10ce8a3 |
hex | b7d3e0 |
12047328 has 72 divisors (see below), whose sum is σ = 34889400. Its totient is φ = 3942144.
The previous prime is 12047327. The next prime is 12047333. The reversal of 12047328 is 82374021.
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×120473282 = 290276223879168, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12047323) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16638 + ... + 17346.
It is an arithmetic number, because the mean of its divisors is an integer number (484575).
Almost surely, 212047328 is an apocalyptic number.
12047328 is a gapful number since it is divisible by the number (18) 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 12047328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17444700).
12047328 is an abundant number, since it is smaller than the sum of its proper divisors (22842072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12047328 is a wasteful number, since it uses less digits than its factorization.
12047328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 784 (or 773 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 27.
The square root of 12047328 is about 3470.9261012012. The cubic root of 12047328 is about 229.2434372139.
The spelling of 12047328 in words is "twelve million, forty-seven thousand, three hundred twenty-eight".
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