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12241240 = 2351143647
BaseRepresentation
bin101110101100…
…100101011000
3212000220211021
4232230211120
511113204430
61114212224
7206022514
oct56544530
925026737
1012241240
116a01030
124124074
1326c7a4b
1418a9144
15111c07a
hexbac958

12241240 has 64 divisors (see below), whose sum is σ = 30792960. Its totient is φ = 4341120.

The previous prime is 12241231. The next prime is 12241279. The reversal of 12241240 is 4214221.

12241240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18597 + ... + 19243.

It is an arithmetic number, because the mean of its divisors is an integer number (481140).

Almost surely, 212241240 is an apocalyptic number.

12241240 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 12241240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15396480).

12241240 is an abundant number, since it is smaller than the sum of its proper divisors (18551720).

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

12241240 is a wasteful number, since it uses less digits than its factorization.

12241240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 12241240 is about 3498.7483476238. The cubic root of 12241240 is about 230.4668526263.

Adding to 12241240 its reverse (4214221), we get a palindrome (16455461).

The spelling of 12241240 in words is "twelve million, two hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 647 860 946 1294 1720 1892 2365 2588 3235 3784 4730 5176 6470 7117 9460 12940 14234 18920 25880 27821 28468 35585 55642 56936 71170 111284 139105 142340 222568 278210 284680 306031 556420 612062 1112840 1224124 1530155 2448248 3060310 6120620 12241240