| Base | Representation |
|---|---|
| bin | 100001110101011… |
| … | …1001100000000000 |
| 3 | 2221010022011221100 |
| 4 | 1003222321200000 |
| 5 | 4311120202130 |
| 6 | 304353454400 |
| 7 | 40064024022 |
| oct | 10352714000 |
| 9 | 2833264840 |
| 10 | 1135319040 |
| 11 | 532948aa9 |
| 12 | 278271400 |
| 13 | 151298a1b |
| 14 | aaad4012 |
| 15 | 69a10c60 |
| hex | 43ab9800 |
1135319040 has 288 divisors, whose sum is σ = 4006679040. Its totient is φ = 297271296.
The previous prime is 1135319011. The next prime is 1135319047. The reversal of 1135319040 is 409135311.
1135319040 is a `hidden beast` number, since 1 + 1 + 3 + 531 + 90 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a junction number, because it is equal to n+sod(n) for n = 1135318995 and 1135319013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1135319047) 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 23 ways as a sum of consecutive naturals, for example, 8939457 + ... + 8939583.
It is an arithmetic number, because the mean of its divisors is an integer number (13912080).
Almost surely, 21135319040 is an apocalyptic number.
1135319040 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 1135319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003339520).
1135319040 is an abundant number, since it is smaller than the sum of its proper divisors (2871360000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1135319040 is a wasteful number, since it uses less digits than its factorization.
1135319040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 257 (or 234 counting only the distinct ones).
The product of its (nonzero) digits is 1620, while the sum is 27.
The square root of 1135319040 is about 33694.4956929170. The cubic root of 1135319040 is about 1043.2121593926.
The spelling of 1135319040 in words is "one billion, one hundred thirty-five million, three hundred nineteen thousand, forty".
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