Base | Representation |
---|---|
bin | 1111100001011… |
… | …1000010111000 |
3 | 11112111201210012 |
4 | 3320113002320 |
5 | 113131343404 |
6 | 10243241052 |
7 | 1420251500 |
oct | 370270270 |
9 | 145451705 |
10 | 65106104 |
11 | 338291a8 |
12 | 19979188 |
13 | 1064712b |
14 | 890aa00 |
15 | 5ab0a6e |
hex | 3e170b8 |
65106104 has 48 divisors (see below), whose sum is σ = 142730280. Its totient is φ = 27760320.
The previous prime is 65106091. The next prime is 65106127. The reversal of 65106104 is 40160156.
65106104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 65106104.
It is a congruent number.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 120074 + ... + 120614.
Almost surely, 265106104 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 65106104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71365140).
65106104 is an abundant number, since it is smaller than the sum of its proper divisors (77624176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
65106104 is a wasteful number, since it uses less digits than its factorization.
65106104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 868 (or 857 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 23.
The square root of 65106104 is about 8068.8353558615. The cubic root of 65106104 is about 402.2912338923.
The spelling of 65106104 in words is "sixty-five million, one hundred six thousand, one hundred four".
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