Base | Representation |
---|---|
bin | 10000000010010… |
… | …110000110000000 |
3 | 200202021011112201 |
4 | 100002112012000 |
5 | 1022334101430 |
6 | 42410402544 |
7 | 6444614014 |
oct | 2002260600 |
9 | 622234481 |
10 | 269050240 |
11 | 128965478 |
12 | 76130454 |
13 | 43982734 |
14 | 27a38544 |
15 | 189488ca |
hex | 10096180 |
269050240 has 128 divisors (see below), whose sum is σ = 676823040. Its totient is φ = 102144000.
The previous prime is 269050237. The next prime is 269050247. The reversal of 269050240 is 42050962.
269050240 is digitally balanced in base 3, because in such base 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 (128).
It is a junction number, because it is equal to n+sod(n) for n = 269050199 and 269050208.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (269050247) 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 15 ways as a sum of consecutive naturals, for example, 1408545 + ... + 1408735.
It is an arithmetic number, because the mean of its divisors is an integer number (5287680).
Almost surely, 2269050240 is an apocalyptic number.
269050240 is a gapful number since it is divisible by the number (20) 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 269050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338411520).
269050240 is an abundant number, since it is smaller than the sum of its proper divisors (407772800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
269050240 is a wasteful number, since it uses less digits than its factorization.
269050240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 312 (or 300 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 28.
The square root of 269050240 is about 16402.7509887823. The cubic root of 269050240 is about 645.5716663266.
The spelling of 269050240 in words is "two hundred sixty-nine million, fifty thousand, two hundred forty".
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