| Base | Representation |
|---|---|
| bin | 111111100101011… |
| … | …000011110000000 |
| 3 | 2202100022020022201 |
| 4 | 333211120132000 |
| 5 | 4141042423120 |
| 6 | 253504242544 |
| 7 | 35302226410 |
| oct | 7745303600 |
| 9 | 2670266281 |
| 10 | 1066764160 |
| 11 | 4a8184780 |
| 12 | 259310454 |
| 13 | 140014bc7 |
| 14 | a196a640 |
| 15 | 639bd40a |
| hex | 3f958780 |
1066764160 has 128 divisors (see below), whose sum is σ = 3179658240. Its totient is φ = 332482560.
The previous prime is 1066764133. The next prime is 1066764163. The reversal of 1066764160 is 614676601.
1066764160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×10667641602 = 2275971546121011200, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1066764163) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38457 + ... + 60103.
It is an arithmetic number, because the mean of its divisors is an integer number (24841080).
Almost surely, 21066764160 is an apocalyptic number.
1066764160 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 1066764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589829120).
1066764160 is an abundant number, since it is smaller than the sum of its proper divisors (2112894080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1066764160 is a wasteful number, since it uses less digits than its factorization.
1066764160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21684 (or 21672 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 37.
The square root of 1066764160 is about 32661.3557587556. The cubic root of 1066764160 is about 1021.7770381018. Note that the first 3 decimals are identical.
The spelling of 1066764160 in words is "one billion, sixty-six million, seven hundred sixty-four thousand, one hundred sixty".
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