Base | Representation |
---|---|
bin | 100000111001111… |
… | …1001111000000000 |
3 | 2211221121101100211 |
4 | 1001303321320000 |
5 | 4230124003230 |
6 | 301321123504 |
7 | 36234624415 |
oct | 10163717000 |
9 | 2757541324 |
10 | 1104125440 |
11 | 517282870 |
12 | 269929594 |
13 | 147996682 |
14 | a68d410c |
15 | 66ded42a |
hex | 41cf9e00 |
1104125440 has 80 divisors (see below), whose sum is σ = 2888051760. Its totient is φ = 401489920.
The previous prime is 1104125417. The next prime is 1104125441. The reversal of 1104125440 is 445214011.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1104125441) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8556 + ... + 47764.
It is an arithmetic number, because the mean of its divisors is an integer number (36100647).
Almost surely, 21104125440 is an apocalyptic number.
1104125440 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 1104125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444025880).
1104125440 is an abundant number, since it is smaller than the sum of its proper divisors (1783926320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1104125440 is an equidigital number, since it uses as much as digits as its factorization.
1104125440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 39243 (or 39227 counting only the distinct ones).
The product of its (nonzero) digits is 640, while the sum is 22.
The square root of 1104125440 is about 33228.3830482315. The cubic root of 1104125440 is about 1033.5689933092.
Adding to 1104125440 its reverse (445214011), we get a palindrome (1549339451).
It can be divided in two parts, 11041 and 25440, that added together give a square (36481 = 1912).
The spelling of 1104125440 in words is "one billion, one hundred four million, one hundred twenty-five thousand, four hundred forty".
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