| Base | Representation |
|---|---|
| bin | 1011001011111110… |
| … | …00100100110111100 |
| 3 | 120111120100102012200 |
| 4 | 11211333010212330 |
| 5 | 44300014000220 |
| 6 | 2431545231500 |
| 7 | 301556105154 |
| oct | 54577044674 |
| 9 | 16446312180 |
| 10 | 6006000060 |
| 11 | 2602259815 |
| 12 | 11b7492590 |
| 13 | 7493b9ab8 |
| 14 | 40d931764 |
| 15 | 252420890 |
| hex | 165fc49bc |
6006000060 has 144 divisors (see below), whose sum is σ = 18685771104. Its totient is φ = 1560674304.
The previous prime is 6006000041. The next prime is 6006000107. The reversal of 6006000060 is 600006006.
6006000060 is a `hidden beast` number, since 6 + 0 + 0 + 600 + 0 + 0 + 60 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a junction number, because it is equal to n+sod(n) for n = 6005999997 and 6006000042.
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 5208444 + ... + 5209596.
Almost surely, 26006000060 is an apocalyptic number.
6006000060 is a gapful number since it is divisible by the number (60) 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 6006000060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9342885552).
6006000060 is an abundant number, since it is smaller than the sum of its proper divisors (12679771044).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6006000060 is a wasteful number, since it uses less digits than its factorization.
6006000060 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1884 (or 1879 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 6006000060 is about 77498.3874670951. The cubic root of 6006000060 is about 1817.7261039593.
Adding to 6006000060 its reverse (600006006), we get a palindrome (6606006066).
The spelling of 6006000060 in words is "six billion, six million, sixty", and thus it is an aban number, an eban number, and an uban number.
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