| Base | Representation |
|---|---|
| bin | 100001101101110… |
| … | …1010100000000000 |
| 3 | 2220211210021202020 |
| 4 | 1003123222200000 |
| 5 | 4304104403230 |
| 6 | 304132121440 |
| 7 | 40015051620 |
| oct | 10333524000 |
| 9 | 2824707666 |
| 10 | 1131325440 |
| 11 | 530670603 |
| 12 | 276a66280 |
| 13 | 1504cb04b |
| 14 | aa374880 |
| 15 | 694c2810 |
| hex | 436ea800 |
1131325440 has 192 divisors, whose sum is σ = 4137194880. Its totient is φ = 258539520.
The previous prime is 1131325421. The next prime is 1131325451. The reversal of 1131325440 is 445231311.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 1131325440.
It is an unprimeable number.
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, 212410 + ... + 217670.
It is an arithmetic number, because the mean of its divisors is an integer number (21547890).
Almost surely, 21131325440 is an apocalyptic number.
1131325440 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 1131325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068597440).
1131325440 is an abundant number, since it is smaller than the sum of its proper divisors (3005869440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1131325440 is an equidigital number, since it uses as much as digits as its factorization.
1131325440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5298 (or 5278 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 24.
The square root of 1131325440 is about 33635.1815811956. The cubic root of 1131325440 is about 1041.9875207728.
Adding to 1131325440 its reverse (445231311), we get a palindrome (1576556751).
The spelling of 1131325440 in words is "one billion, one hundred thirty-one million, three hundred twenty-five thousand, four hundred forty".
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