Search a number
-
+
12790016 = 28471063
BaseRepresentation
bin110000110010…
…100100000000
3220001210121022
4300302210000
511233240031
61134045012
7213466451
oct60624400
926053538
1012790016
117246368
124349768
13285a775
1419ad128
1511c997b
hexc32900

12790016 has 36 divisors (see below), whose sum is σ = 26097792. Its totient is φ = 6253056.

The previous prime is 12790009. The next prime is 12790027. The reversal of 12790016 is 61009721.

It is an unprimeable number.

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, 11501 + ... + 12563.

Almost surely, 212790016 is an apocalyptic number.

12790016 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 12790016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13048896).

12790016 is an abundant number, since it is smaller than the sum of its proper divisors (13307776).

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

12790016 is an equidigital number, since it uses as much as digits as its factorization.

12790016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 12790016 is about 3576.3131853908. The cubic root of 12790016 is about 233.8605836681.

Adding to 12790016 its reverse (61009721), we get a palindrome (73799737).

The spelling of 12790016 in words is "twelve million, seven hundred ninety thousand, sixteen".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 752 1063 1504 2126 3008 4252 6016 8504 12032 17008 34016 49961 68032 99922 136064 199844 272128 399688 799376 1598752 3197504 6395008 12790016