| Base | Representation |
|---|---|
| bin | 111111011011001… |
| … | …010011010000000 |
| 3 | 2202011021010101000 |
| 4 | 333123022122000 |
| 5 | 4134401210440 |
| 6 | 253331012000 |
| 7 | 35240400660 |
| oct | 7733123200 |
| 9 | 2664233330 |
| 10 | 1064085120 |
| 11 | 4a671499a |
| 12 | 25843a000 |
| 13 | 13c5b7687 |
| 14 | a14701a0 |
| 15 | 6363e730 |
| hex | 3f6ca680 |
1064085120 has 512 divisors, whose sum is σ = 4543488000. Its totient is φ = 229920768.
The previous prime is 1064085083. The next prime is 1064085151. The reversal of 1064085120 is 215804601.
1064085120 is a `hidden beast` number, since 1 + 0 + 640 + 8 + 5 + 12 + 0 = 666.
1064085120 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 2×10640851202 = 2264554285210828800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2298009 + ... + 2298471.
It is an arithmetic number, because the mean of its divisors is an integer number (8874000).
Almost surely, 21064085120 is an apocalyptic number.
1064085120 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 1064085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271744000).
1064085120 is an abundant number, since it is smaller than the sum of its proper divisors (3479402880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1064085120 is a wasteful number, since it uses less digits than its factorization.
1064085120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 517 (or 499 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 27.
The square root of 1064085120 is about 32620.3175950204. The cubic root of 1064085120 is about 1020.9209675075.
Adding to 1064085120 its reverse (215804601), we get a palindrome (1279889721).
The spelling of 1064085120 in words is "one billion, sixty-four million, eighty-five thousand, one hundred twenty".
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