Base | Representation |
---|---|
bin | 111100110100101… |
… | …011100110100000 |
3 | 2122010010212200200 |
4 | 330310223212200 |
5 | 4042213134130 |
6 | 245131345200 |
7 | 34200423411 |
oct | 7464534640 |
9 | 2563125620 |
10 | 1020443040 |
11 | 484016a61 |
12 | 2458b2200 |
13 | 133547166 |
14 | 9974d808 |
15 | 5e8bd760 |
hex | 3cd2b9a0 |
1020443040 has 72 divisors (see below), whose sum is σ = 3482266788. Its totient is φ = 272117760.
The previous prime is 1020443033. The next prime is 1020443059. The reversal of 1020443040 is 403440201.
1020443040 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 1018120464 + 2322576 = 31908^2 + 1524^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352881 + ... + 355760.
Almost surely, 21020443040 is an apocalyptic number.
1020443040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
1020443040 is an abundant number, since it is smaller than the sum of its proper divisors (2461823748).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1020443040 is a wasteful number, since it uses less digits than its factorization.
1020443040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 708662 (or 708651 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 1020443040 is about 31944.3741525797. The cubic root of 1020443040 is about 1006.7684316421.
Adding to 1020443040 its reverse (403440201), we get a palindrome (1423883241).
The spelling of 1020443040 in words is "one billion, twenty million, four hundred forty-three thousand, forty".
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