Base | Representation |
---|---|
bin | 111101000110101000000 |
3 | 10202201120001 |
4 | 13220311000 |
5 | 1003032430 |
6 | 110525344 |
7 | 23006302 |
oct | 7506500 |
9 | 3681501 |
10 | 2002240 |
11 | 1148349 |
12 | 806854 |
13 | 551476 |
14 | 3a1972 |
15 | 2983ca |
hex | 1e8d40 |
2002240 has 28 divisors (see below), whose sum is σ = 4768596. Its totient is φ = 800768.
The previous prime is 2002229. The next prime is 2002249. The reversal of 2002240 is 422002.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 1517824 + 484416 = 1232^2 + 696^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2002249) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2809 + ... + 3448.
It is an arithmetic number, because the mean of its divisors is an integer number (170307).
22002240 is an apocalyptic number.
2002240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2002240 is an abundant number, since it is smaller than the sum of its proper divisors (2766356).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2002240 is an equidigital number, since it uses as much as digits as its factorization.
2002240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6274 (or 6264 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 10.
The square root of 2002240 is about 1415.0053003434. The cubic root of 2002240 is about 126.0391244924.
Adding to 2002240 its reverse (422002), we get a palindrome (2424242).
The spelling of 2002240 in words is "two million, two thousand, two hundred forty".
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