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12243240 = 2332571479
BaseRepresentation
bin101110101101…
…000100101000
3212001000120100
4232231010220
511113240430
61114225400
7206031402
oct56550450
925030510
1012243240
116a02589
124125260
1326c8929
1418a9b72
15111c960
hexbad128

12243240 has 96 divisors (see below), whose sum is σ = 40435200. Its totient is φ = 3212160.

The previous prime is 12243229. The next prime is 12243241. The reversal of 12243240 is 4234221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12243241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 25321 + ... + 25799.

It is an arithmetic number, because the mean of its divisors is an integer number (421200).

Almost surely, 212243240 is an apocalyptic number.

12243240 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 12243240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217600).

12243240 is an abundant number, since it is smaller than the sum of its proper divisors (28191960).

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

12243240 is a wasteful number, since it uses less digits than its factorization.

12243240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 12243240 is about 3499.0341524484. The cubic root of 12243240 is about 230.4794033321.

Adding to 12243240 its reverse (4234221), we get a palindrome (16477461).

The spelling of 12243240 in words is "twelve million, two hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 479 568 639 710 852 958 1065 1278 1420 1437 1704 1916 2130 2395 2556 2840 2874 3195 3832 4260 4311 4790 5112 5748 6390 7185 8520 8622 9580 11496 12780 14370 17244 19160 21555 25560 28740 34009 34488 43110 57480 68018 86220 102027 136036 170045 172440 204054 272072 306081 340090 408108 510135 612162 680180 816216 1020270 1224324 1360360 1530405 2040540 2448648 3060810 4081080 6121620 12243240