Base | Representation |
---|---|
bin | 110001100001… |
… | …000000000000 |
3 | 220102110112001 |
4 | 301201000000 |
5 | 11310331344 |
6 | 1142113344 |
7 | 215221135 |
oct | 61410000 |
9 | 26373461 |
10 | 12980224 |
11 | 7366264 |
12 | 441b854 |
13 | 28c620a |
14 | 1a1c58c |
15 | 1215ed4 |
hex | c61000 |
12980224 has 26 divisors (see below), whose sum is σ = 25965470. Its totient is φ = 6488064.
The previous prime is 12980221. The next prime is 12980263. The reversal of 12980224 is 42208921.
It can be written as a sum of positive squares in only one way, i.e., 12390400 + 589824 = 3520^2 + 768^2 .
It is a nialpdrome in base 16.
It is a junction number, because it is equal to n+sod(n) for n = 12980192 and 12980201.
It is not an unprimeable number, because it can be changed into a prime (12980221) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2512 + ... + 5680.
Almost surely, 212980224 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 12980224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12982735).
12980224 is an abundant number, since it is smaller than the sum of its proper divisors (12985246).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12980224 is an frugal number, since it uses more digits than its factorization.
12980224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3193 (or 3171 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 28.
The square root of 12980224 is about 3602.8077939296. The cubic root of 12980224 is about 235.0141775059.
The spelling of 12980224 in words is "twelve million, nine hundred eighty thousand, two hundred twenty-four".
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