Base | Representation |
---|---|
bin | 100011010000… |
… | …011010000000 |
3 | 122101112222012 |
4 | 203100122000 |
5 | 4331222430 |
6 | 530032052 |
7 | 141362210 |
oct | 43203200 |
9 | 18345865 |
10 | 9242240 |
11 | 5242917 |
12 | 3118628 |
13 | 1bb79a7 |
14 | 1328240 |
15 | c28695 |
hex | 8d0680 |
9242240 has 64 divisors (see below), whose sum is σ = 25263360. Its totient is φ = 3167232.
The previous prime is 9242239. The next prime is 9242243. The reversal of 9242240 is 422429.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-3 number, since 3×92422403 (a number of 22 digits) contains 333 as substring.
It is not an unprimeable number, because it can be changed into a prime (9242243) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3449 + ... + 5511.
It is an arithmetic number, because the mean of its divisors is an integer number (394740).
Almost surely, 29242240 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12631680).
9242240 is an abundant number, since it is smaller than the sum of its proper divisors (16021120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9242240 is a wasteful number, since it uses less digits than its factorization.
9242240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2089 (or 2077 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 23.
The square root of 9242240 is about 3040.1052613355. The cubic root of 9242240 is about 209.8581052030.
Adding to 9242240 its reverse (422429), we get a palindrome (9664669).
The spelling of 9242240 in words is "nine million, two hundred forty-two thousand, two hundred forty".
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