Base | Representation |
---|---|
bin | 1000101000100000000000 |
3 | 11020222022022 |
4 | 20220200000 |
5 | 1034404130 |
6 | 120301012 |
7 | 25143533 |
oct | 10504000 |
9 | 4228268 |
10 | 2263040 |
11 | 130628a |
12 | 911768 |
13 | 6130a0 |
14 | 42ca1a |
15 | 2ea7e5 |
hex | 228800 |
2263040 has 96 divisors (see below), whose sum is σ = 6191640. Its totient is φ = 786432.
The previous prime is 2263007. The next prime is 2263061. The reversal of 2263040 is 403622.
It can be written as a sum of positive squares in 4 ways, for example, as 1721344 + 541696 = 1312^2 + 736^2 .
It is a Harshad number since it is a multiple of its sum of digits (17).
It is a zygodrome in base 16.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133112 + ... + 133128.
22263040 is an apocalyptic number.
2263040 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 2263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095820).
2263040 is an abundant number, since it is smaller than the sum of its proper divisors (3928600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2263040 is a wasteful number, since it uses less digits than its factorization.
2263040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 57 (or 37 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 17.
The square root of 2263040 is about 1504.3403870135. The cubic root of 2263040 is about 131.2897264476.
Adding to 2263040 its reverse (403622), we get a palindrome (2666662).
The spelling of 2263040 in words is "two million, two hundred sixty-three thousand, forty".
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