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12840168 = 23311172861
BaseRepresentation
bin110000111110…
…110011101000
3220011100101210
4300332303220
511241341133
61135113120
7214065615
oct60766350
926140353
1012840168
117280010
1243727a0
132877543
1419c350c
1511d9763
hexc3ece8

12840168 has 64 divisors (see below), whose sum is σ = 37091520. Its totient is φ = 3660800.

The previous prime is 12840133. The next prime is 12840193. The reversal of 12840168 is 86104821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3058 + ... + 5918.

It is an arithmetic number, because the mean of its divisors is an integer number (579555).

Almost surely, 212840168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12840168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18545760).

12840168 is an abundant number, since it is smaller than the sum of its proper divisors (24251352).

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

12840168 is a wasteful number, since it uses less digits than its factorization.

12840168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 12840168 is about 3583.3180154711. The cubic root of 12840168 is about 234.1658550958.

Adding to 12840168 its reverse (86104821), we get a palindrome (98944989).

The spelling of 12840168 in words is "twelve million, eight hundred forty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 2861 4488 5722 8583 11444 17166 22888 31471 34332 48637 62942 68664 94413 97274 125884 145911 188826 194548 251768 291822 377652 389096 535007 583644 755304 1070014 1167288 1605021 2140028 3210042 4280056 6420084 12840168