Base | Representation |
---|---|
bin | 1111101010110… |
… | …0011101000000 |
3 | 11120122211020222 |
4 | 3322230131000 |
5 | 113310434310 |
6 | 10304322212 |
7 | 1425410621 |
oct | 372543500 |
9 | 146584228 |
10 | 65718080 |
11 | 34106a6a |
12 | 1a013368 |
13 | 107cc84c |
14 | 8a29a48 |
15 | 5b82055 |
hex | 3eac740 |
65718080 has 56 divisors (see below), whose sum is σ = 160340040. Its totient is φ = 25640960.
The previous prime is 65718077. The next prime is 65718083. The reversal of 65718080 is 8081756.
It is a happy number.
65718080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (65718077) and next prime (65718083).
It can be written as a sum of positive squares in 4 ways, for example, as 43264 + 65674816 = 208^2 + 8104^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 65718080.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (65718083) 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 7 ways as a sum of consecutive naturals, for example, 10616 + ... + 15624.
It is an arithmetic number, because the mean of its divisors is an integer number (2863215).
Almost surely, 265718080 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 65718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80170020).
65718080 is an abundant number, since it is smaller than the sum of its proper divisors (94621960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
65718080 is a wasteful number, since it uses less digits than its factorization.
65718080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5067 (or 5057 counting only the distinct ones).
The product of its (nonzero) digits is 13440, while the sum is 35.
The square root of 65718080 is about 8106.6688596488. The cubic root of 65718080 is about 403.5477735595.
The spelling of 65718080 in words is "sixty-five million, seven hundred eighteen thousand, eighty".
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