Base | Representation |
---|---|
bin | 1111100000011… |
… | …1011110010000 |
3 | 11112101111021211 |
4 | 3320013132100 |
5 | 113122323240 |
6 | 10242025504 |
7 | 1416564520 |
oct | 370073620 |
9 | 145344254 |
10 | 65042320 |
11 | 33795292 |
12 | 19948294 |
13 | 106240a5 |
14 | 88d1680 |
15 | 5a9bbea |
hex | 3e07790 |
65042320 has 80 divisors (see below), whose sum is σ = 181952640. Its totient is φ = 21123072.
The previous prime is 65042297. The next prime is 65042333. The reversal of 65042320 is 2324056.
It is a happy number.
65042320 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 (80).
It is a junction number, because it is equal to n+sod(n) for n = 65042291 and 65042300.
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, 7584 + ... + 13696.
It is an arithmetic number, because the mean of its divisors is an integer number (2274408).
Almost surely, 265042320 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 65042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90976320).
65042320 is an abundant number, since it is smaller than the sum of its proper divisors (116910320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
65042320 is a wasteful number, since it uses less digits than its factorization.
65042320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6152 (or 6146 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 22.
The square root of 65042320 is about 8064.8818962214. The cubic root of 65042320 is about 402.1598169866.
Adding to 65042320 its reverse (2324056), we get a palindrome (67366376).
The spelling of 65042320 in words is "sixty-five million, forty-two thousand, three hundred twenty".
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