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12242736 = 24321159131
BaseRepresentation
bin101110101100…
…111100110000
3212000222212200
4232230330300
511113231421
61114223200
7206030052
oct56547460
925028780
1012242736
116a02170
124124b00
1326c862c
1418a98d2
15111c726
hexbacf30

12242736 has 120 divisors (see below), whose sum is σ = 38301120. Its totient is φ = 3619200.

The previous prime is 12242729. The next prime is 12242773. The reversal of 12242736 is 63724221.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 93391 + ... + 93521.

It is an arithmetic number, because the mean of its divisors is an integer number (319176).

Almost surely, 212242736 is an apocalyptic number.

12242736 is a gapful number since it is divisible by the number (16) 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 12242736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150560).

12242736 is an abundant number, since it is smaller than the sum of its proper divisors (26058384).

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

12242736 is a wasteful number, since it uses less digits than its factorization.

12242736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 206 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 12242736 is about 3498.9621318328. The cubic root of 12242736 is about 230.4762406831.

Adding to 12242736 its reverse (63724221), we get a palindrome (75966957).

The spelling of 12242736 in words is "twelve million, two hundred forty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 59 66 72 88 99 118 131 132 144 176 177 198 236 262 264 354 393 396 472 524 528 531 649 708 786 792 944 1048 1062 1179 1298 1416 1441 1572 1584 1947 2096 2124 2358 2596 2832 2882 3144 3894 4248 4323 4716 5192 5764 5841 6288 7729 7788 8496 8646 9432 10384 11528 11682 12969 15458 15576 17292 18864 23056 23187 23364 25938 30916 31152 34584 46374 46728 51876 61832 69168 69561 85019 92748 93456 103752 123664 139122 170038 185496 207504 255057 278244 340076 370992 510114 556488 680152 765171 1020228 1112976 1360304 1530342 2040456 3060684 4080912 6121368 12242736