Base | Representation |
---|---|
bin | 101111011110… |
… | …001001010000 |
3 | 212102020021210 |
4 | 233132021100 |
5 | 11141203430 |
6 | 1122420120 |
7 | 210526404 |
oct | 57361120 |
9 | 25366253 |
10 | 12444240 |
11 | 702a5a6 |
12 | 4201640 |
13 | 2769273 |
14 | 191d104 |
15 | 115c2b0 |
hex | bde250 |
12444240 has 80 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 3142656.
The previous prime is 12444239. The next prime is 12444251. The reversal of 12444240 is 4244421.
12444240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (80).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3196 + ... + 5924.
It is an arithmetic number, because the mean of its divisors is an integer number (507780).
Almost surely, 212444240 is an apocalyptic number.
12444240 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 12444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).
12444240 is an abundant number, since it is smaller than the sum of its proper divisors (28178160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12444240 is a wasteful number, since it uses less digits than its factorization.
12444240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2764 (or 2758 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 21.
The square root of 12444240 is about 3527.6394373575. The cubic root of 12444240 is about 231.7338406265.
Adding to 12444240 its reverse (4244421), we get a palindrome (16688661).
The spelling of 12444240 in words is "twelve million, four hundred forty-four thousand, two hundred forty".
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