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12240320 = 265291319
BaseRepresentation
bin101110101100…
…010111000000
3212000212120012
4232230113000
511113142240
61114204052
7206020031
oct56542700
925025505
1012240320
116a00374
124123628
1326c74c1
1418a8a88
15111bb65
hexbac5c0

12240320 has 56 divisors (see below), whose sum is σ = 30175200. Its totient is φ = 4723712.

The previous prime is 12240311. The next prime is 12240341. The reversal of 12240320 is 2304221.

It is a junction number, because it is equal to n+sod(n) for n = 12240295 and 12240304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8621 + ... + 9939.

Almost surely, 212240320 is an apocalyptic number.

12240320 is a gapful number since it is divisible by the number (10) 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 12240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15087600).

12240320 is an abundant number, since it is smaller than the sum of its proper divisors (17934880).

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

12240320 is a wasteful number, since it uses less digits than its factorization.

12240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 12240320 is about 3498.6168695643. The cubic root of 12240320 is about 230.4610788426.

Adding to 12240320 its reverse (2304221), we get a palindrome (14544541).

The spelling of 12240320 in words is "twelve million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1319 1856 2320 2638 4640 5276 6595 9280 10552 13190 21104 26380 38251 42208 52760 76502 84416 105520 153004 191255 211040 306008 382510 422080 612016 765020 1224032 1530040 2448064 3060080 6120160 12240320