Base | Representation |
---|---|
bin | 111111111001100… |
… | …010000110000010 |
3 | 2202201020121021200 |
4 | 333321202012002 |
5 | 4143420441331 |
6 | 254213402030 |
7 | 35365146621 |
oct | 7771420602 |
9 | 2681217250 |
10 | 1072046466 |
11 | 500162417 |
12 | 25b039316 |
13 | 14114432a |
14 | a25436b8 |
15 | 641b35e6 |
hex | 3fe62182 |
1072046466 has 48 divisors (see below), whose sum is σ = 2360741760. Its totient is φ = 351529920.
The previous prime is 1072046447. The next prime is 1072046467. The reversal of 1072046466 is 6646402701.
1072046466 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 0 + 4 + 646 + 6 = 666.
1072046466 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 2×10720464662 = 2298567250526178312, which contains 22 as substring.
It is a Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 1072046466.
It is not an unprimeable number, because it can be changed into a prime (1072046467) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 948990 + ... + 950118.
It is an arithmetic number, because the mean of its divisors is an integer number (49182120).
Almost surely, 21072046466 is an apocalyptic number.
1072046466 is an abundant number, since it is smaller than the sum of its proper divisors (1288695294).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1072046466 is a wasteful number, since it uses less digits than its factorization.
1072046466 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1951 (or 1948 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 36.
The square root of 1072046466 is about 32742.1206704758. The cubic root of 1072046466 is about 1023.4607763085.
The spelling of 1072046466 in words is "one billion, seventy-two million, forty-six thousand, four hundred sixty-six".
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