Base | Representation |
---|---|
bin | 1000100111110101100000 |
3 | 11020211120120 |
4 | 20213311200 |
5 | 1034312240 |
6 | 120240240 |
7 | 25132566 |
oct | 10476540 |
9 | 4224516 |
10 | 2260320 |
11 | 1304237 |
12 | 910080 |
13 | 611a8a |
14 | 42ba36 |
15 | 2e9ad0 |
hex | 227d60 |
2260320 has 96 divisors (see below), whose sum is σ = 7566048. Its totient is φ = 565248.
The previous prime is 2260309. The next prime is 2260327. The reversal of 2260320 is 230622.
2260320 is digitally balanced in base 5, 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 (96).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 2260320.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2260327) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8022 + ... + 8298.
It is an arithmetic number, because the mean of its divisors is an integer number (78813).
22260320 is an apocalyptic number.
2260320 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 2260320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783024).
2260320 is an abundant number, since it is smaller than the sum of its proper divisors (5305728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2260320 is a wasteful number, since it uses less digits than its factorization.
2260320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 312 (or 304 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 2260320 is about 1503.4360644869. The cubic root of 2260320 is about 131.2371053092.
Adding to 2260320 its reverse (230622), we get a palindrome (2490942).
The spelling of 2260320 in words is "two million, two hundred sixty thousand, three hundred twenty".
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