Search a number
-
+
12843328 = 26732749
BaseRepresentation
bin110000111111…
…100101000000
3220011111201211
4300333211000
511241441303
61135135504
7214111051
oct60774500
926144654
1012843328
117282423
124374594
132878b04
1419c4728
1511da66d
hexc3f940

12843328 has 28 divisors (see below), whose sum is σ = 25844500. Its totient is φ = 6331392.

The previous prime is 12843319. The next prime is 12843343. The reversal of 12843328 is 82334821.

It can be written as a sum of positive squares in 2 ways, for example, as 4129024 + 8714304 = 2032^2 + 2952^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12843328.

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 3 ways as a sum of consecutive naturals, for example, 3298 + ... + 6046.

Almost surely, 212843328 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 12843328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12922250).

12843328 is an abundant number, since it is smaller than the sum of its proper divisors (13001172).

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

12843328 is an equidigital number, since it uses as much as digits as its factorization.

12843328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2824 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 12843328 is about 3583.7589204633. The cubic root of 12843328 is about 234.1850631365.

The spelling of 12843328 in words is "twelve million, eight hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 2336 2749 4672 5498 10996 21992 43984 87968 175936 200677 401354 802708 1605416 3210832 6421664 12843328