| Base | Representation |
|---|---|
| bin | 111101000011110… |
| … | …100001100110100 |
| 3 | 2122101121102220200 |
| 4 | 331003310030310 |
| 5 | 4044222113140 |
| 6 | 245352400500 |
| 7 | 34246226205 |
| oct | 7503641464 |
| 9 | 2571542820 |
| 10 | 1024410420 |
| 11 | 486286790 |
| 12 | 2470a6130 |
| 13 | 134305c17 |
| 14 | 9a0a35ac |
| 15 | 5ee04030 |
| hex | 3d0f4334 |
1024410420 has 144 divisors (see below), whose sum is σ = 3472822080. Its totient is φ = 242265600.
The previous prime is 1024410419. The next prime is 1024410433. The reversal of 1024410420 is 240144201.
1024410420 is a `hidden beast` number, since 1 + 0 + 244 + 1 + 0 + 420 = 666.
1024410420 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 = 1024410393 and 1024410402.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74871 + ... + 87489.
It is an arithmetic number, because the mean of its divisors is an integer number (24116820).
Almost surely, 21024410420 is an apocalyptic number.
1024410420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1024410420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736411040).
1024410420 is an abundant number, since it is smaller than the sum of its proper divisors (2448411660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1024410420 is a wasteful number, since it uses less digits than its factorization.
1024410420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12686 (or 12681 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 1024410420 is about 32006.4121700637. The cubic root of 1024410420 is about 1008.0714825535.
Adding to 1024410420 its reverse (240144201), we get a palindrome (1264554621).
The spelling of 1024410420 in words is "one billion, twenty-four million, four hundred ten thousand, four hundred twenty".
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