| Base | Representation |
|---|---|
| bin | 111111011011110… |
| … | …000001110000000 |
| 3 | 2202011112222211022 |
| 4 | 333123300032000 |
| 5 | 4134421140000 |
| 6 | 253334205012 |
| 7 | 35241614345 |
| oct | 7733601600 |
| 9 | 2664488738 |
| 10 | 1064240000 |
| 11 | 4a681029a |
| 12 | 2584b3768 |
| 13 | 13c640015 |
| 14 | a14b07cc |
| 15 | 63670585 |
| hex | 3f6f0380 |
1064240000 has 160 divisors (see below), whose sum is σ = 2710101240. Its totient is φ = 416000000.
The previous prime is 1064239973. The next prime is 1064240003. The reversal of 1064240000 is 424601.
1064240000 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 (160).
It is a super-2 number, since 2×10642400002 = 2265213555200000000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1064240003) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4239875 + ... + 4240125.
Almost surely, 21064240000 is an apocalyptic number.
1064240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1064240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355050620).
1064240000 is an abundant number, since it is smaller than the sum of its proper divisors (1645861240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1064240000 is an frugal number, since it uses more digits than its factorization.
1064240000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 338 (or 311 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 17.
The square root of 1064240000 is about 32622.6914892073. The cubic root of 1064240000 is about 1020.9704975578.
Adding to 1064240000 its reverse (424601), we get a palindrome (1064664601).
It can be divided in two parts, 106 and 4240000, that multiplied together give a square (449440000 = 212002).
The spelling of 1064240000 in words is "one billion, sixty-four million, two hundred forty thousand".
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