Base | Representation |
---|---|
bin | 111011101011000… |
… | …011000100101100 |
3 | 2120202211012121200 |
4 | 323223003010230 |
5 | 4022242444044 |
6 | 243201525500 |
7 | 33544361016 |
oct | 7353030454 |
9 | 2522735550 |
10 | 1001140524 |
11 | 47413276a |
12 | 23b343890 |
13 | 12c549357 |
14 | 96d671b6 |
15 | 5cd59369 |
hex | 3bac312c |
1001140524 has 72 divisors (see below), whose sum is σ = 2608355568. Its totient is φ = 323533440.
The previous prime is 1001140519. The next prime is 1001140537. The reversal of 1001140524 is 4250411001.
1001140524 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 140 + 524 = 666.
1001140524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1001140497 and 1001140506.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421059 + ... + 423429.
Almost surely, 21001140524 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1001140524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304177784).
1001140524 is an abundant number, since it is smaller than the sum of its proper divisors (1607215044).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001140524 is a wasteful number, since it uses less digits than its factorization.
1001140524 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2735 (or 2730 counting only the distinct ones).
The product of its (nonzero) digits is 160, while the sum is 18.
The square root of 1001140524 is about 31640.8047306006. The cubic root of 1001140524 is about 1000.3800302254.
Adding to 1001140524 its reverse (4250411001), we get a palindrome (5251551525).
It can be divided in two parts, 100 and 1140524, that added together give a square (1140624 = 10682).
The spelling of 1001140524 in words is "one billion, one million, one hundred forty thousand, five hundred twenty-four".
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