Base | Representation |
---|---|
bin | 100000000000001000000 |
3 | 1222021110112 |
4 | 10000001000 |
5 | 232024030 |
6 | 34250452 |
7 | 11625155 |
oct | 4000100 |
9 | 1867415 |
10 | 1048640 |
11 | 65694a |
12 | 426a28 |
13 | 2a93c8 |
14 | 1d422c |
15 | 15aa95 |
hex | 100040 |
1048640 has 56 divisors (see below), whose sum is σ = 2606040. Its totient is φ = 401408.
The previous prime is 1048633. The next prime is 1048661. The reversal of 1048640 is 468401.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 64 + 1048576 = 8^2 + 1024^2 .
It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (2) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9224 + ... + 9336.
It is the magic constant of a 128 × 128 magic square.
21048640 is an apocalyptic number.
1048640 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 1048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303020).
1048640 is an abundant number, since it is smaller than the sum of its proper divisors (1557400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1048640 is a wasteful number, since it uses less digits than its factorization.
1048640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 159 (or 149 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 23.
The square root of 1048640 is about 1024.0312495232. The cubic root of 1048640 is about 101.5957342124.
The spelling of 1048640 in words is "one million, forty-eight thousand, six hundred forty".
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