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6490112 = 2113169
BaseRepresentation
bin11000110000100000000000
3110012201202112
4120300200000
53130140422
6351034452
7106110416
oct30604000
913181675
106490112
113733132
12220ba28
131463105
14c0d2b6
15882ee2
hex630800

6490112 has 24 divisors (see below), whose sum is σ = 12981150. Its totient is φ = 3244032.

The previous prime is 6490111. The next prime is 6490123. The reversal of 6490112 is 2110946.

It is a happy number.

6490112 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4596736 + 1893376 = 2144^2 + 1376^2 .

It is not an unprimeable number, because it can be changed into a prime (6490111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 464 + ... + 3632.

Almost surely, 26490112 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 6490112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6490575).

6490112 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

6490112 is an equidigital number, since it uses as much as digits as its factorization.

6490112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 6490112 is about 2547.5698223994. The cubic root of 6490112 is about 186.5308763002.

The spelling of 6490112 in words is "six million, four hundred ninety thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3169 6338 12676 25352 50704 101408 202816 405632 811264 1622528 3245056 6490112