Base | Representation |
---|---|
bin | 11110110001001100000 |
3 | 1220020000122 |
4 | 3312021200 |
5 | 224230344 |
6 | 33335412 |
7 | 11366300 |
oct | 3661140 |
9 | 1806018 |
10 | 1008224 |
11 | 629548 |
12 | 407568 |
13 | 293ba9 |
14 | 1c3600 |
15 | 14daee |
hex | f6260 |
1008224 has 36 divisors (see below), whose sum is σ = 2312604. Its totient is φ = 431424.
The previous prime is 1008223. The next prime is 1008229. The reversal of 1008224 is 4228001.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1008223) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1247 + ... + 1889.
It is an arithmetic number, because the mean of its divisors is an integer number (64239).
21008224 is an apocalyptic number.
1008224 is a gapful number since it is divisible by the number (14) 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 1008224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156302).
1008224 is an abundant number, since it is smaller than the sum of its proper divisors (1304380).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1008224 is an equidigital number, since it uses as much as digits as its factorization.
1008224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 667 (or 652 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 17.
The square root of 1008224 is about 1004.1035803143. The cubic root of 1008224 is about 100.2733852573.
The spelling of 1008224 in words is "one million, eight thousand, two hundred twenty-four".
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