Base | Representation |
---|---|
bin | 101110101111… |
… | …100111000000 |
3 | 212001112211020 |
4 | 232233213000 |
5 | 11114104012 |
6 | 1114345440 |
7 | 206103606 |
oct | 56574700 |
9 | 25045736 |
10 | 12253632 |
11 | 6a0a376 |
12 | 412b280 |
13 | 2700591 |
14 | 18ad876 |
15 | 1120a8c |
hex | baf9c0 |
12253632 has 56 divisors (see below), whose sum is σ = 34137600. Its totient is φ = 3868416.
The previous prime is 12253621. The next prime is 12253639. The reversal of 12253632 is 23635221.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12253639) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 1969 + ... + 5327.
It is an arithmetic number, because the mean of its divisors is an integer number (609600).
Almost surely, 212253632 is an apocalyptic number.
12253632 is a gapful number since it is divisible by the number (12) 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 12253632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17068800).
12253632 is an abundant number, since it is smaller than the sum of its proper divisors (21883968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12253632 is a wasteful number, since it uses less digits than its factorization.
12253632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3393 (or 3383 counting only the distinct ones).
The product of its digits is 2160, while the sum is 24.
The square root of 12253632 is about 3500.5188186896. The cubic root of 12253632 is about 230.5445948070.
Adding to 12253632 its reverse (23635221), we get a palindrome (35888853).
The spelling of 12253632 in words is "twelve million, two hundred fifty-three thousand, six hundred thirty-two".
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