| Base | Representation |
|---|---|
| bin | 100010110000100… |
| … | …0110100110010000 |
| 3 | 10000021121110121200 |
| 4 | 1011201012212100 |
| 5 | 4342033240210 |
| 6 | 311421551200 |
| 7 | 40621302051 |
| oct | 10541064620 |
| 9 | 3007543550 |
| 10 | 1166305680 |
| 11 | 5493927a1 |
| 12 | 286715500 |
| 13 | 157827b07 |
| 14 | b0c7c728 |
| 15 | 6c5d20c0 |
| hex | 45846990 |
1166305680 has 120 divisors (see below), whose sum is σ = 4012477560. Its totient is φ = 303421440.
The previous prime is 1166305667. The next prime is 1166305703. The reversal of 1166305680 is 865036611.
It is a happy number.
1166305680 is a `hidden beast` number, since 1 + 1 + 66 + 30 + 568 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 14653584 + 1151652096 = 3828^2 + 33936^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 9766 + ... + 49274.
It is an arithmetic number, because the mean of its divisors is an integer number (33437313).
Almost surely, 21166305680 is an apocalyptic number.
1166305680 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 1166305680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006238780).
1166305680 is an abundant number, since it is smaller than the sum of its proper divisors (2846171880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1166305680 is a wasteful number, since it uses less digits than its factorization.
1166305680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 39569 (or 39560 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The square root of 1166305680 is about 34151.2178406569. The cubic root of 1166305680 is about 1052.6180111900.
The spelling of 1166305680 in words is "one billion, one hundred sixty-six million, three hundred five thousand, six hundred eighty".
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