| Base | Representation |
|---|---|
| bin | 100010110000001… |
| … | …1100001101001000 |
| 3 | 10000021021122102120 |
| 4 | 1011200130031020 |
| 5 | 4342012211130 |
| 6 | 311414131240 |
| 7 | 40616646603 |
| oct | 10540341510 |
| 9 | 3007248376 |
| 10 | 1166132040 |
| 11 | 549284297 |
| 12 | 286650b20 |
| 13 | 157796a78 |
| 14 | b0c3533a |
| 15 | 6c59a910 |
| hex | 4581c348 |
1166132040 has 128 divisors (see below), whose sum is σ = 3594240000. Its totient is φ = 302531328.
The previous prime is 1166132029. The next prime is 1166132041. The reversal of 1166132040 is 402316611.
It is a super-3 number, since 3×11661320403 (a number of 28 digits) contains 333 as substring.
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 1166132040.
It is not an unprimeable number, because it can be changed into a prime (1166132041) 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 31 ways as a sum of consecutive naturals, for example, 1121841 + ... + 1122879.
It is an arithmetic number, because the mean of its divisors is an integer number (28080000).
Almost surely, 21166132040 is an apocalyptic number.
1166132040 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 1166132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797120000).
1166132040 is an abundant number, since it is smaller than the sum of its proper divisors (2428107960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1166132040 is a wasteful number, since it uses less digits than its factorization.
1166132040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1299 (or 1295 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 24.
The square root of 1166132040 is about 34148.6755233640. The cubic root of 1166132040 is about 1052.5657705508.
Adding to 1166132040 its reverse (402316611), we get a palindrome (1568448651).
The spelling of 1166132040 in words is "one billion, one hundred sixty-six million, one hundred thirty-two thousand, forty".
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