Base | Representation |
---|---|
bin | 1111111110000… |
… | …0001001010000 |
3 | 11200000212001220 |
4 | 3333200021100 |
5 | 114121302014 |
6 | 10351325040 |
7 | 1442210154 |
oct | 377401120 |
9 | 150025056 |
10 | 66978384 |
11 | 34897940 |
12 | 1a520780 |
13 | 10b513a5 |
14 | 8c77064 |
15 | 5d306a9 |
hex | 3fe0250 |
66978384 has 80 divisors (see below), whose sum is σ = 192844800. Its totient is φ = 19857280.
The previous prime is 66978367. The next prime is 66978389. The reversal of 66978384 is 48387966.
It is a super-2 number, since 2×669783842 = 8972207846502912, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (66978389) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23467 + ... + 26165.
It is an arithmetic number, because the mean of its divisors is an integer number (2410560).
Almost surely, 266978384 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 66978384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96422400).
66978384 is an abundant number, since it is smaller than the sum of its proper divisors (125866416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66978384 is a wasteful number, since it uses less digits than its factorization.
66978384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2768 (or 2762 counting only the distinct ones).
The product of its digits is 1741824, while the sum is 51.
The square root of 66978384 is about 8184.0322580009. The cubic root of 66978384 is about 406.1111265286. Note that the first 4 decimals are identical.
The spelling of 66978384 in words is "sixty-six million, nine hundred seventy-eight thousand, three hundred eighty-four".
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