| Base | Representation |
|---|---|
| bin | 1111100110001… |
| … | …0101101100000 |
| 3 | 11120002110221000 |
| 4 | 3321202231200 |
| 5 | 113221303112 |
| 6 | 10254032000 |
| 7 | 1423012203 |
| oct | 371425540 |
| 9 | 146073830 |
| 10 | 65416032 |
| 11 | 33a20040 |
| 12 | 19aa8600 |
| 13 | 10725216 |
| 14 | 898b93a |
| 15 | 5b227dc |
| hex | 3e62b60 |
65416032 has 96 divisors (see below), whose sum is σ = 208172160. Its totient is φ = 19820160.
The previous prime is 65416027. The next prime is 65416067. The reversal of 65416032 is 23061456.
65416032 is a `hidden beast` number, since 6 + 54 + 1 + 603 + 2 = 666.
65416032 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 (96).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 65415987 and 65416005.
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 15 ways as a sum of consecutive naturals, for example, 6063 + ... + 12945.
It is an arithmetic number, because the mean of its divisors is an integer number (2168460).
Almost surely, 265416032 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 65416032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104086080).
65416032 is an abundant number, since it is smaller than the sum of its proper divisors (142756128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
65416032 is a wasteful number, since it uses less digits than its factorization.
65416032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6913 (or 6899 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 27.
The square root of 65416032 is about 8088.0178041347. The cubic root of 65416032 is about 402.9285729901.
Adding to 65416032 its reverse (23061456), we get a palindrome (88477488).
The spelling of 65416032 in words is "sixty-five million, four hundred sixteen thousand, thirty-two".
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