Base | Representation |
---|---|
bin | 101011111111… |
… | …001101000000 |
3 | 210200211122202 |
4 | 223333031000 |
5 | 10422443242 |
6 | 1051052332 |
7 | 200004200 |
oct | 53771500 |
9 | 23624582 |
10 | 11531072 |
11 | 6566513 |
12 | 3a410a8 |
13 | 2509727 |
14 | 1762400 |
15 | 102b932 |
hex | aff340 |
11531072 has 42 divisors (see below), whose sum is σ = 26625042. Its totient is φ = 4940544.
The previous prime is 11531059. The next prime is 11531099. The reversal of 11531072 is 27013511.
It can be written as a sum of positive squares in only one way, i.e., 10916416 + 614656 = 3304^2 + 784^2 .
It is a congruent number.
It is an unprimeable number.
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 5 ways as a sum of consecutive naturals, for example, 1298 + ... + 4974.
Almost surely, 211531072 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11531072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13312521).
11531072 is an abundant number, since it is smaller than the sum of its proper divisors (15093970).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11531072 is an equidigital number, since it uses as much as digits as its factorization.
11531072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3703 (or 3686 counting only the distinct ones).
The product of its (nonzero) digits is 210, while the sum is 20.
The square root of 11531072 is about 3395.7432176182. The cubic root of 11531072 is about 225.9209789780.
Adding to 11531072 its reverse (27013511), we get a palindrome (38544583).
The spelling of 11531072 in words is "eleven million, five hundred thirty-one thousand, seventy-two".
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