Base | Representation |
---|---|
bin | 111011110110011… |
… | …011100001000000 |
3 | 2120222102210111002 |
4 | 323312123201000 |
5 | 4024023433344 |
6 | 243345511132 |
7 | 33611625605 |
oct | 7366334100 |
9 | 2528383432 |
10 | 1004124224 |
11 | 475890434 |
12 | 2403424a8 |
13 | 13005245c |
14 | 975026ac |
15 | 5d24844e |
hex | 3bd9b840 |
1004124224 has 56 divisors (see below), whose sum is σ = 2077614336. Its totient is φ = 480960000.
The previous prime is 1004124211. The next prime is 1004124229. The reversal of 1004124224 is 4224214001.
1004124224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 1004124196 and 1004124205.
It is not an unprimeable number, because it can be changed into a prime (1004124229) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197879 + ... + 202889.
It is an arithmetic number, because the mean of its divisors is an integer number (37100256).
Almost surely, 21004124224 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 1004124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038807168).
1004124224 is an abundant number, since it is smaller than the sum of its proper divisors (1073490112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1004124224 is a wasteful number, since it uses less digits than its factorization.
1004124224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5155 (or 5145 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 20.
The square root of 1004124224 is about 31687.9192122171. The cubic root of 1004124224 is about 1001.3728557380.
Adding to 1004124224 its reverse (4224214001), we get a palindrome (5228338225).
The spelling of 1004124224 in words is "one billion, four million, one hundred twenty-four thousand, two hundred twenty-four".
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