Base | Representation |
---|---|
bin | 1111010010011… |
… | …1010000111000 |
3 | 11110122211112111 |
4 | 3310213100320 |
5 | 112403431320 |
6 | 10210222104 |
7 | 1406021215 |
oct | 364472070 |
9 | 143584474 |
10 | 64123960 |
11 | 3321830a |
12 | 19584934 |
13 | 10392094 |
14 | 8732b0c |
15 | 5969a5a |
hex | 3d27438 |
64123960 has 48 divisors (see below), whose sum is σ = 148410360. Its totient is φ = 24935040.
The previous prime is 64123957. The next prime is 64123987. The reversal of 64123960 is 6932146.
64123960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×641239602 = 8223764492163200, which contains 22 as substring.
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 11 ways as a sum of consecutive naturals, for example, 54175 + ... + 55345.
Almost surely, 264123960 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 64123960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74205180).
64123960 is an abundant number, since it is smaller than the sum of its proper divisors (84286400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64123960 is a wasteful number, since it uses less digits than its factorization.
64123960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1256 (or 1215 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 31.
The square root of 64123960 is about 8007.7437521439. The cubic root of 64123960 is about 400.2580834465.
The spelling of 64123960 in words is "sixty-four million, one hundred twenty-three thousand, nine hundred sixty".
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