| Base | Representation |
|---|---|
| bin | 1001101101011010… |
| … | …1000001000000000 |
| 3 | 20201122101211122100 |
| 4 | 2123112220020000 |
| 5 | 20314214300000 |
| 6 | 1110344110400 |
| 7 | 121406014551 |
| oct | 23326501000 |
| 9 | 6648354570 |
| 10 | 2606400000 |
| 11 | 1118276996 |
| 12 | 608a65400 |
| 13 | 326ca4029 |
| 14 | 1aa22a328 |
| 15 | 103c46a00 |
| hex | 9b5a8200 |
2606400000 has 360 divisors, whose sum is σ = 9454152708. Its totient is φ = 691200000.
The previous prime is 2606399941. The next prime is 2606400001. The reversal of 2606400000 is 46062.
2606400000 is a `hidden beast` number, since 26 + 0 + 640 + 0 + 0 + 0 + 0 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 1068505344 + 1537894656 = 32688^2 + 39216^2 .
It is a tau number, because it is divible by the number of its divisors (360).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (2606400001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14399910 + ... + 14400090.
Almost surely, 22606400000 is an apocalyptic number.
2606400000 is a gapful number since it is divisible by the number (20) 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 2606400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727076354).
2606400000 is an abundant number, since it is smaller than the sum of its proper divisors (6847752708).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2606400000 is an frugal number, since it uses more digits than its factorization.
2606400000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 230 (or 191 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 2606400000 is about 51052.9137268384. The cubic root of 2606400000 is about 1376.1962042194.
Adding to 2606400000 its reverse (46062), we get a palindrome (2606446062).
The spelling of 2606400000 in words is "two billion, six hundred six million, four hundred thousand".
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