Base | Representation |
---|---|
bin | 1111101010111… |
… | …1010111111010 |
3 | 11120200102200000 |
4 | 3322233113322 |
5 | 113311330132 |
6 | 10304453430 |
7 | 1425460530 |
oct | 372572772 |
9 | 146612600 |
10 | 65730042 |
11 | 34114a54 |
12 | 1a01a276 |
13 | 10805121 |
14 | 8a30150 |
15 | 5b8587c |
hex | 3eaf5fa |
65730042 has 72 divisors (see below), whose sum is σ = 170011296. Its totient is φ = 18644904.
The previous prime is 65730029. The next prime is 65730043. The reversal of 65730042 is 24003756.
It is a happy number.
65730042 is a `hidden beast` number, since 657 + 3 + 0 + 0 + 4 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a zygodrome in base 4.
It is a junction number, because it is equal to n+sod(n) for n = 65729988 and 65730015.
It is not an unprimeable number, because it can be changed into a prime (65730043) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 472809 + ... + 472947.
It is an arithmetic number, because the mean of its divisors is an integer number (2361268).
Almost surely, 265730042 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 65730042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85005648).
65730042 is an abundant number, since it is smaller than the sum of its proper divisors (104281254).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
65730042 is an equidigital number, since it uses as much as digits as its factorization.
65730042 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 302 (or 151 counting only the distinct ones).
The product of its (nonzero) digits is 5040, while the sum is 27.
The square root of 65730042 is about 8107.4066137082. The cubic root of 65730042 is about 403.5722566526.
Adding to 65730042 its reverse (24003756), we get a palindrome (89733798).
The spelling of 65730042 in words is "sixty-five million, seven hundred thirty thousand, forty-two".
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