Base | Representation |
---|---|
bin | 111111100010011… |
… | …110000000011010 |
3 | 2202021212102122200 |
4 | 333202132000122 |
5 | 4140344003120 |
6 | 253440031030 |
7 | 35262565626 |
oct | 7742360032 |
9 | 2667772580 |
10 | 1066000410 |
11 | 4a7802982 |
12 | 259002476 |
13 | 13cb08397 |
14 | a180c186 |
15 | 638bbe90 |
hex | 3f89e01a |
1066000410 has 96 divisors (see below), whose sum is σ = 2931102720. Its totient is φ = 268358400.
The previous prime is 1066000393. The next prime is 1066000417. The reversal of 1066000410 is 140006601.
1066000410 is a `hidden beast` number, since 1 + 0 + 660 + 0 + 0 + 4 + 1 + 0 = 666.
1066000410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×10660004102 = 2272713748240336200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (1066000417) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109731 + ... + 119049.
It is an arithmetic number, because the mean of its divisors is an integer number (30532320).
Almost surely, 21066000410 is an apocalyptic number.
1066000410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 1066000410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465551360).
1066000410 is an abundant number, since it is smaller than the sum of its proper divisors (1865102310).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1066000410 is a wasteful number, since it uses less digits than its factorization.
1066000410 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9404 (or 9401 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 1066000410 is about 32649.6617134083. The cubic root of 1066000410 is about 1021.5331327306.
The spelling of 1066000410 in words is "one billion, sixty-six million, four hundred ten", and thus it is an aban number.
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