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12247296 = 28337431
BaseRepresentation
bin101110101110…
…000100000000
3212001020010120
4232232010000
511113403141
61114300240
7206046255
oct56560400
925036116
1012247296
116a05636
124127680
1326ca729
1418ab42c
15111dc66
hexbae100

12247296 has 72 divisors (see below), whose sum is σ = 33554304. Its totient is φ = 3962880.

The previous prime is 12247289. The next prime is 12247297. The reversal of 12247296 is 69274221.

It is not an unprimeable number, because it can be changed into a prime (12247297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28201 + ... + 28631.

It is an arithmetic number, because the mean of its divisors is an integer number (466032).

Almost surely, 212247296 is an apocalyptic number.

12247296 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 12247296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777152).

12247296 is an abundant number, since it is smaller than the sum of its proper divisors (21307008).

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

12247296 is an equidigital number, since it uses as much as digits as its factorization.

12247296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 473 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 12247296 is about 3499.6136929667. The cubic root of 12247296 is about 230.5048519674.

The spelling of 12247296 in words is "twelve million, two hundred forty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 431 444 592 768 862 888 1184 1293 1724 1776 2368 2586 3448 3552 4736 5172 6896 7104 9472 10344 13792 14208 15947 20688 27584 28416 31894 41376 47841 55168 63788 82752 95682 110336 127576 165504 191364 255152 331008 382728 510304 765456 1020608 1530912 2041216 3061824 4082432 6123648 12247296