| Base | Representation |
|---|---|
| bin | 111110100000000… |
| … | …000001010000000 |
| 3 | 2201002002012201212 |
| 4 | 332200000022000 |
| 5 | 4121413423030 |
| 6 | 252014345252 |
| 7 | 34661516516 |
| oct | 7640001200 |
| 9 | 2632065655 |
| 10 | 1048576640 |
| 11 | 498992171 |
| 12 | 2531bb228 |
| 13 | 139317767 |
| 14 | 9d3944b6 |
| 15 | 620c9595 |
| hex | 3e800280 |
1048576640 has 128 divisors (see below), whose sum is σ = 2602530000. Its totient is φ = 403701760.
The previous prime is 1048576631. The next prime is 1048576649. The reversal of 1048576640 is 466758401.
It is an interprime number because it is at equal distance from previous prime (1048576631) and next prime (1048576649).
It can be written as a sum of positive squares in 8 ways, for example, as 105349696 + 943226944 = 10264^2 + 30712^2 .
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (41).
It is a zygodrome in base 4.
It is not an unprimeable number, because it can be changed into a prime (1048576649) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2335136 + ... + 2335584.
It is the magic constant of a 1280 × 1280 magic square.
Almost surely, 21048576640 is an apocalyptic number.
1048576640 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 1048576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301265000).
1048576640 is an abundant number, since it is smaller than the sum of its proper divisors (1553953360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1048576640 is an equidigital number, since it uses as much as digits as its factorization.
1048576640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 598 (or 586 counting only the distinct ones).
The product of its (nonzero) digits is 161280, while the sum is 41.
The square root of 1048576640 is about 32381.7331222404. The cubic root of 1048576640 is about 1015.9368799525.
The spelling of 1048576640 in words is "one billion, forty-eight million, five hundred seventy-six thousand, six hundred forty".
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