Search a number
-
+
12668416 = 29109227
BaseRepresentation
bin110000010100…
…111000000000
3212211121210121
4300110320000
511220342131
61131310024
7212452105
oct60247000
925747717
1012668416
117172a72
1242ab314
132817307
14197aaac
1511a3911
hexc14e00

12668416 has 40 divisors (see below), whose sum is σ = 25656840. Its totient is φ = 6248448.

The previous prime is 12668413. The next prime is 12668449. The reversal of 12668416 is 61486621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12668413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55695 + ... + 55921.

It is an arithmetic number, because the mean of its divisors is an integer number (641421).

Almost surely, 212668416 is an apocalyptic number.

12668416 is a gapful number since it is divisible by the number (16) 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 12668416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12828420).

12668416 is an abundant number, since it is smaller than the sum of its proper divisors (12988424).

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

12668416 is an equidigital number, since it uses as much as digits as its factorization.

12668416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 338 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 12668416 is about 3559.2718356428. The cubic root of 12668416 is about 233.1170858169.

The spelling of 12668416 in words is "twelve million, six hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 109 128 218 227 256 436 454 512 872 908 1744 1816 3488 3632 6976 7264 13952 14528 24743 27904 29056 49486 55808 58112 98972 116224 197944 395888 791776 1583552 3167104 6334208 12668416