Base | Representation |
---|---|
bin | 101110101101… |
… | …010001000000 |
3 | 212001001122200 |
4 | 232231101000 |
5 | 11113302112 |
6 | 1114233200 |
7 | 206033613 |
oct | 56552100 |
9 | 25031580 |
10 | 12244032 |
11 | 6a03139 |
12 | 4125800 |
13 | 26c90b8 |
14 | 18aa17a |
15 | 111ccdc |
hex | bad440 |
12244032 has 84 divisors (see below), whose sum is σ = 36355020. Its totient is φ = 3935232.
The previous prime is 12244009. The next prime is 12244033. The reversal of 12244032 is 23044221.
It can be written as a sum of positive squares in 2 ways, for example, as 9884736 + 2359296 = 3144^2 + 1536^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 12243996 and 12244014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12244033) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16338 + ... + 17070.
Almost surely, 212244032 is an apocalyptic number.
12244032 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 12244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18177510).
12244032 is an abundant number, since it is smaller than the sum of its proper divisors (24110988).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12244032 is a wasteful number, since it uses less digits than its factorization.
12244032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 780 (or 767 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 12244032 is about 3499.1473247064. The cubic root of 12244032 is about 230.4843730338.
Adding to 12244032 its reverse (23044221), we get a palindrome (35288253).
The spelling of 12244032 in words is "twelve million, two hundred forty-four thousand, thirty-two".
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