Base | Representation |
---|---|
bin | 110000100000… |
… | …111110100000 |
3 | 212221010210110 |
4 | 300200332200 |
5 | 11223433414 |
6 | 1132331320 |
7 | 213046446 |
oct | 60407640 |
9 | 25833713 |
10 | 12717984 |
11 | 71a7234 |
12 | 4313b40 |
13 | 2833a46 |
14 | 1990b96 |
15 | 11b3459 |
hex | c20fa0 |
12717984 has 48 divisors (see below), whose sum is σ = 33663168. Its totient is φ = 4204032.
The previous prime is 12717983. The next prime is 12718003. The reversal of 12717984 is 48971721.
It is a tau number, because it is divible by the number of its divisors (48).
It is not an unprimeable number, because it can be changed into a prime (12717983) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12669 + ... + 13635.
It is an arithmetic number, because the mean of its divisors is an integer number (701316).
Almost surely, 212717984 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 12717984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16831584).
12717984 is an abundant number, since it is smaller than the sum of its proper divisors (20945184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12717984 is a wasteful number, since it uses less digits than its factorization.
12717984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1117 (or 1109 counting only the distinct ones).
The product of its digits is 28224, while the sum is 39.
The square root of 12717984 is about 3566.2282596603. The cubic root of 12717984 is about 233.4207309790.
The spelling of 12717984 in words is "twelve million, seven hundred seventeen thousand, nine hundred eighty-four".
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