Base | Representation |
---|---|
bin | 101101111001… |
… | …100001001000 |
3 | 211122021220022 |
4 | 231321201020 |
5 | 11040011242 |
6 | 1105520012 |
7 | 204161633 |
oct | 55714110 |
9 | 24567808 |
10 | 12032072 |
11 | 6878968 |
12 | 4043008 |
13 | 2653790 |
14 | 1852c1a |
15 | 10ca0d2 |
hex | b79848 |
12032072 has 16 divisors (see below), whose sum is σ = 24295740. Its totient is φ = 5553216.
The previous prime is 12032063. The next prime is 12032077. The reversal of 12032072 is 27023021.
It can be written as a sum of positive squares in 2 ways, for example, as 8444836 + 3587236 = 2906^2 + 1894^2 .
It is a super-2 number, since 2×120320722 = 289541513226368, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 12032072.
It is not an unprimeable number, because it can be changed into a prime (12032077) 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 3 ways as a sum of consecutive naturals, for example, 57743 + ... + 57950.
Almost surely, 212032072 is an apocalyptic number.
It is an amenable number.
12032072 is an abundant number, since it is smaller than the sum of its proper divisors (12263668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12032072 is a wasteful number, since it uses less digits than its factorization.
12032072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 115712 (or 115708 counting only the distinct ones).
The product of its (nonzero) digits is 168, while the sum is 17.
The square root of 12032072 is about 3468.7277206492. The cubic root of 12032072 is about 229.1466297119.
Adding to 12032072 its reverse (27023021), we get a palindrome (39055093).
The spelling of 12032072 in words is "twelve million, thirty-two thousand, seventy-two".
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