Search a number
-
+
12245712 = 2431743349
BaseRepresentation
bin101110101101…
…101011010000
3212001010221220
4232231223100
511113330322
61114245040
7206041533
oct56555320
925033856
1012245712
116a04426
124126780
1326c9aab
1418aaa1a
15111d55c
hexbadad0

12245712 has 80 divisors (see below), whose sum is σ = 34372800. Its totient is φ = 3741696.

The previous prime is 12245707. The next prime is 12245719. The reversal of 12245712 is 21754221.

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 (12245719) 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 15 ways as a sum of consecutive naturals, for example, 34914 + ... + 35262.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 212245712 is an apocalyptic number.

12245712 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 12245712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17186400).

12245712 is an abundant number, since it is smaller than the sum of its proper divisors (22127088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12245712 is a wasteful number, since it uses less digits than its factorization.

12245712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 12245712 is about 3499.3873749558. The cubic root of 12245712 is about 230.4949141159.

Adding to 12245712 its reverse (21754221), we get a palindrome (33999933).

The spelling of 12245712 in words is "twelve million, two hundred forty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 43 48 51 68 86 102 129 136 172 204 258 272 344 349 408 516 688 698 731 816 1032 1047 1396 1462 2064 2094 2193 2792 2924 4188 4386 5584 5848 5933 8376 8772 11696 11866 15007 16752 17544 17799 23732 30014 35088 35598 45021 47464 60028 71196 90042 94928 120056 142392 180084 240112 255119 284784 360168 510238 720336 765357 1020476 1530714 2040952 3061428 4081904 6122856 12245712