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6662144 = 2113253
BaseRepresentation
bin11001011010100000000000
3110112110202002
4121122200000
53201142034
6354443132
7110425106
oct31324000
913473662
106662144
113840405
1222934a8
1314c34c8
14c55c76
158b8e7e
hex65a800

6662144 has 24 divisors (see below), whose sum is σ = 13325130. Its totient is φ = 3330048.

The previous prime is 6662137. The next prime is 6662171. The reversal of 6662144 is 4412666.

6662144 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., 3564544 + 3097600 = 1888^2 + 1760^2 .

It is an Ulam number.

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 as a sum of consecutive naturals, namely, 422 + ... + 3674.

Almost surely, 26662144 is an apocalyptic number.

6662144 is a gapful number since it is divisible by the number (64) 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 6662144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662565).

6662144 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.

6662144 is an equidigital number, since it uses as much as digits as its factorization.

6662144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3275 (or 3255 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 6662144 is about 2581.1129382497. The cubic root of 6662144 is about 188.1646362256.

The spelling of 6662144 in words is "six million, six hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3253 6506 13012 26024 52048 104096 208192 416384 832768 1665536 3331072 6662144