Base | Representation |
---|---|
bin | 101010011101… |
… | …100010100000 |
3 | 202221111220202 |
4 | 222131202200 |
5 | 10322143130 |
6 | 1034324332 |
7 | 163420004 |
oct | 52354240 |
9 | 22844822 |
10 | 11131040 |
11 | 6312a08 |
12 | 38896a8 |
13 | 23c961b |
14 | 169a704 |
15 | e9d145 |
hex | a9d8a0 |
11131040 has 48 divisors (see below), whose sum is σ = 26685288. Its totient is φ = 4386816.
The previous prime is 11131037. The next prime is 11131061. The reversal of 11131040 is 4013111.
11131040 is nontrivially palindromic in base 9.
It can be written as a sum of positive squares in 4 ways, for example, as 8832784 + 2298256 = 2972^2 + 1516^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11204 + ... + 12156.
Almost surely, 211131040 is an apocalyptic number.
11131040 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 11131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13342644).
11131040 is an abundant number, since it is smaller than the sum of its proper divisors (15554248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11131040 is an equidigital number, since it uses as much as digits as its factorization.
11131040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1041 (or 1033 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 11.
The square root of 11131040 is about 3336.3213274503. The cubic root of 11131040 is about 223.2776475605.
Adding to 11131040 its reverse (4013111), we get a palindrome (15144151).
The spelling of 11131040 in words is "eleven million, one hundred thirty-one thousand, forty".
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