| Base | Representation |
|---|---|
| bin | 1011001011111110… |
| … | …01110110110010000 |
| 3 | 120111120102112202000 |
| 4 | 11211333032312100 |
| 5 | 44300021321000 |
| 6 | 2431550154000 |
| 7 | 301556341350 |
| oct | 54577166620 |
| 9 | 16446375660 |
| 10 | 6006042000 |
| 11 | 2602288282 |
| 12 | 11b74b2900 |
| 13 | 749402c0a |
| 14 | 40d942b60 |
| 15 | 25242d000 |
| hex | 165fced90 |
6006042000 has 320 divisors, whose sum is σ = 24590092800. Its totient is φ = 1372723200.
The previous prime is 6006041981. The next prime is 6006042001. The reversal of 6006042000 is 2406006.
6006042000 is a `hidden beast` number, since 60 + 0 + 604 + 2 + 0 + 0 + 0 = 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 not an unprimeable number, because it can be changed into a prime (6006042001) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 370056 + ... + 385944.
It is an arithmetic number, because the mean of its divisors is an integer number (76844040).
Almost surely, 26006042000 is an apocalyptic number.
6006042000 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 6006042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12295046400).
6006042000 is an abundant number, since it is smaller than the sum of its proper divisors (18584050800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6006042000 is a wasteful number, since it uses less digits than its factorization.
6006042000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15928 (or 15906 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 6006042000 is about 77498.6580528979. The cubic root of 6006042000 is about 1817.7303350201.
Adding to 6006042000 its reverse (2406006), we get a palindrome (6008448006).
The spelling of 6006042000 in words is "six billion, six million, forty-two thousand", and thus it is an eban number.
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