Base | Representation |
---|---|
bin | 1111100000111… |
… | …1111000100000 |
3 | 11112110020112200 |
4 | 3320033320200 |
5 | 113124424033 |
6 | 10242453200 |
7 | 1420100121 |
oct | 370177040 |
9 | 145406480 |
10 | 65076768 |
11 | 33809159 |
12 | 19964200 |
13 | 10636983 |
14 | 8900048 |
15 | 5aa7013 |
hex | 3e0fe20 |
65076768 has 36 divisors (see below), whose sum is σ = 185062878. Its totient is φ = 21692160.
The previous prime is 65076763. The next prime is 65076773. The reversal of 65076768 is 86767056.
65076768 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 (65076763) and next prime (65076773).
It can be written as a sum of positive squares in only one way, i.e., 64834704 + 242064 = 8052^2 + 492^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is not an unprimeable number, because it can be changed into a prime (65076761) 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 5 ways as a sum of consecutive naturals, for example, 112693 + ... + 113268.
Almost surely, 265076768 is an apocalyptic number.
It is an amenable number.
65076768 is an abundant number, since it is smaller than the sum of its proper divisors (119986110).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
65076768 is a wasteful number, since it uses less digits than its factorization.
65076768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 225977 (or 225966 counting only the distinct ones).
The product of its (nonzero) digits is 423360, while the sum is 45.
The square root of 65076768 is about 8067.0172926553. The cubic root of 65076768 is about 402.2308023407.
The spelling of 65076768 in words is "sixty-five million, seventy-six thousand, seven hundred sixty-eight".
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