Base | Representation |
---|---|
bin | 100001011100101… |
… | …1001001001000000 |
3 | 2220012212212000111 |
4 | 1002321121021000 |
5 | 4244304411230 |
6 | 303211401104 |
7 | 36545513323 |
oct | 10271311100 |
9 | 2805785014 |
10 | 1122341440 |
11 | 526594810 |
12 | 273a53194 |
13 | 14b6a3a7c |
14 | a90b67ba |
15 | 687ea92a |
hex | 42e59240 |
1122341440 has 112 divisors (see below), whose sum is σ = 2963899584. Its totient is φ = 401356800.
The previous prime is 1122341431. The next prime is 1122341443. The reversal of 1122341440 is 441432211.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is not an unprimeable number, because it can be changed into a prime (1122341443) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212107 + ... + 217333.
Almost surely, 21122341440 is an apocalyptic number.
1122341440 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 1122341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481949792).
1122341440 is an abundant number, since it is smaller than the sum of its proper divisors (1841558144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1122341440 is a wasteful number, since it uses less digits than its factorization.
1122341440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5316 (or 5306 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 22.
The square root of 1122341440 is about 33501.3647483203. The cubic root of 1122341440 is about 1039.2220019707. Note that the first 3 decimals are identical.
Adding to 1122341440 its reverse (441432211), we get a palindrome (1563773651).
The spelling of 1122341440 in words is "one billion, one hundred twenty-two million, three hundred forty-one thousand, four hundred forty".
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