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12243360 = 2535231109
BaseRepresentation
bin101110101101…
…000110100000
3212001000201210
4232231012200
511113241420
61114230120
7206031633
oct56550640
925030653
1012243360
116a02688
124125340
1326c89bc
1418a9c1a
15111c9e0
hexbad1a0

12243360 has 96 divisors (see below), whose sum is σ = 40279680. Its totient is φ = 3120128.

The previous prime is 12243323. The next prime is 12243367. The reversal of 12243360 is 6334221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12243367) 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 15 ways as a sum of consecutive naturals, for example, 10486 + ... + 11594.

It is an arithmetic number, because the mean of its divisors is an integer number (419580).

Almost surely, 212243360 is an apocalyptic number.

12243360 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 12243360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20139840).

12243360 is an abundant number, since it is smaller than the sum of its proper divisors (28036320).

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

12243360 is a wasteful number, since it uses less digits than its factorization.

12243360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 12243360 is about 3499.0512999955. The cubic root of 12243360 is about 230.4801563310.

Adding to 12243360 its reverse (6334221), we get a palindrome (18577581).

The spelling of 12243360 in words is "twelve million, two hundred forty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1109 1380 1840 2208 2218 2760 3327 3680 4436 5520 5545 6654 8872 11040 11090 13308 16635 17744 22180 25507 26616 33270 35488 44360 51014 53232 66540 76521 88720 102028 106464 127535 133080 153042 177440 204056 255070 266160 306084 382605 408112 510140 532320 612168 765210 816224 1020280 1224336 1530420 2040560 2448672 3060840 4081120 6121680 12243360