| Base | Representation |
|---|---|
| bin | 1111101011100… |
| … | …0001101100000 |
| 3 | 11120202021022200 |
| 4 | 3322320031200 |
| 5 | 113314004430 |
| 6 | 10305333200 |
| 7 | 1426001211 |
| oct | 372701540 |
| 9 | 146667280 |
| 10 | 65766240 |
| 11 | 3413a171 |
| 12 | 1a037200 |
| 13 | 10818747 |
| 14 | 8a3d408 |
| 15 | 5b91460 |
| hex | 3eb8360 |
65766240 has 144 divisors (see below), whose sum is σ = 227026800. Its totient is φ = 17335296.
The previous prime is 65766227. The next prime is 65766271. The reversal of 65766240 is 4266756.
65766240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 65766195 and 65766204.
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 23 ways as a sum of consecutive naturals, for example, 156751 + ... + 157169.
It is an arithmetic number, because the mean of its divisors is an integer number (1576575).
Almost surely, 265766240 is an apocalyptic number.
65766240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 65766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113513400).
65766240 is an abundant number, since it is smaller than the sum of its proper divisors (161260560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
65766240 is a wasteful number, since it uses less digits than its factorization.
65766240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 549 (or 538 counting only the distinct ones).
The product of its (nonzero) digits is 60480, while the sum is 36.
The square root of 65766240 is about 8109.6387095850. The cubic root of 65766240 is about 403.6463264247.
The spelling of 65766240 in words is "sixty-five million, seven hundred sixty-six thousand, two hundred forty".
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