Base | Representation |
---|---|
bin | 1001100000111… |
… | …1111000111000 |
3 | 2210002200120000 |
4 | 2120033320320 |
5 | 40204122333 |
6 | 3543233000 |
7 | 663144336 |
oct | 230177070 |
9 | 83080500 |
10 | 39910968 |
11 | 2058a779 |
12 | 11448760 |
13 | 8365176 |
14 | 542cb56 |
15 | 3785713 |
hex | 260fe38 |
39910968 has 80 divisors (see below), whose sum is σ = 118396080. Its totient is φ = 12517632.
The previous prime is 39910967. The next prime is 39910973. The reversal of 39910968 is 86901993.
39910968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (39910967) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9205 + ... + 12827.
It is an arithmetic number, because the mean of its divisors is an integer number (1479951).
Almost surely, 239910968 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 39910968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59198040).
39910968 is an abundant number, since it is smaller than the sum of its proper divisors (78485112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
39910968 is a wasteful number, since it uses less digits than its factorization.
39910968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3658 (or 3645 counting only the distinct ones).
The product of its (nonzero) digits is 104976, while the sum is 45.
The square root of 39910968 is about 6317.5128017282. The cubic root of 39910968 is about 341.7412632150.
Subtracting 39910968 from its reverse (86901993), we obtain a square (46991025 = 68552).
The spelling of 39910968 in words is "thirty-nine million, nine hundred ten thousand, nine hundred sixty-eight".
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