| Base | Representation |
|---|---|
| bin | 1111101111001… |
| … | …0100100100000 |
| 3 | 11121012102020000 |
| 4 | 3323302210200 |
| 5 | 113344132110 |
| 6 | 10314420000 |
| 7 | 1431015135 |
| oct | 373624440 |
| 9 | 147172200 |
| 10 | 66005280 |
| 11 | 34292820 |
| 12 | 1a131600 |
| 13 | 108a04a3 |
| 14 | 8aa258c |
| 15 | 5bdc1c0 |
| hex | 3ef2920 |
66005280 has 240 divisors, whose sum is σ = 254669184. Its totient is φ = 15966720.
The previous prime is 66005279. The next prime is 66005281. The reversal of 66005280 is 8250066.
66005280 is a `hidden beast` number, since 6 + 600 + 52 + 8 + 0 = 666.
66005280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (66005279) and next prime (66005281).
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (66005281) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142329 + ... + 142791.
Almost surely, 266005280 is an apocalyptic number.
66005280 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 66005280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127334592).
66005280 is an abundant number, since it is smaller than the sum of its proper divisors (188663904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66005280 is a wasteful number, since it uses less digits than its factorization.
66005280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 501 (or 484 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The square root of 66005280 is about 8124.3633596732. The cubic root of 66005280 is about 404.1347784149.
The spelling of 66005280 in words is "sixty-six million, five thousand, two hundred eighty".
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