Base | Representation |
---|---|
bin | 101101111001… |
… | …100101000000 |
3 | 211122022020111 |
4 | 231321211000 |
5 | 11040013240 |
6 | 1105521104 |
7 | 204162436 |
oct | 55714500 |
9 | 24568214 |
10 | 12032320 |
11 | 6879073 |
12 | 4043194 |
13 | 2653921 |
14 | 1852d56 |
15 | 10ca1ea |
hex | b79940 |
12032320 has 56 divisors (see below), whose sum is σ = 30175200. Its totient is φ = 4557312.
The previous prime is 12032297. The next prime is 12032327. The reversal of 12032320 is 2323021.
It is a happy number.
It is a self number, because there is not a number n which added to its sum of digits gives 12032320.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12032327) 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 7 ways as a sum of consecutive naturals, for example, 5091 + ... + 7069.
Almost surely, 212032320 is an apocalyptic number.
12032320 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 12032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15087600).
12032320 is an abundant number, since it is smaller than the sum of its proper divisors (18142880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12032320 is a wasteful number, since it uses less digits than its factorization.
12032320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2015 (or 2005 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 13.
The square root of 12032320 is about 3468.7634684423. The cubic root of 12032320 is about 229.1482040590.
Adding to 12032320 its reverse (2323021), we get a palindrome (14355341).
The spelling of 12032320 in words is "twelve million, thirty-two thousand, three hundred twenty".
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