| Base | Representation |
|---|---|
| bin | 111101000011010… |
| … | …000010001001000 |
| 3 | 2122101022222000120 |
| 4 | 331003100101020 |
| 5 | 4044202410430 |
| 6 | 245345303240 |
| 7 | 34245044130 |
| oct | 7503202110 |
| 9 | 2571288016 |
| 10 | 1024263240 |
| 11 | 486196150 |
| 12 | 247034b20 |
| 13 | 134283c30 |
| 14 | 9a065ac0 |
| 15 | 5edc5610 |
| hex | 3d0d0448 |
1024263240 has 256 divisors, whose sum is σ = 4126187520. Its totient is φ = 196439040.
The previous prime is 1024263221. The next prime is 1024263241. The reversal of 1024263240 is 423624201.
1024263240 = 26052 + 26062 + ... + 27472.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 1024263240.
It is not an unprimeable number, because it can be changed into a prime (1024263241) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115857 + ... + 124383.
It is an arithmetic number, because the mean of its divisors is an integer number (16117920).
Almost surely, 21024263240 is an apocalyptic number.
1024263240 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 1024263240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063093760).
1024263240 is an abundant number, since it is smaller than the sum of its proper divisors (3101924280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1024263240 is a wasteful number, since it uses less digits than its factorization.
1024263240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8572 (or 8568 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
The square root of 1024263240 is about 32004.1128606934. The cubic root of 1024263240 is about 1008.0232027287.
Adding to 1024263240 its reverse (423624201), we get a palindrome (1447887441).
The spelling of 1024263240 in words is "one billion, twenty-four million, two hundred sixty-three thousand, two hundred forty".
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