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1808128 = 2871009
BaseRepresentation
bin110111001011100000000
310101212021201
412321130000
5430330003
6102430544
721240340
oct6713400
93355251
101808128
111025523
12732454
134b3cca
14350d20
1525ab1d
hex1b9700

1808128 has 36 divisors (see below), whose sum is σ = 4128880. Its totient is φ = 774144.

The previous prime is 1808119. The next prime is 1808161. The reversal of 1808128 is 8218081.

It is a super-3 number, since 3×18081283 = 17734084333934739456, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1808096 and 1808105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1288 + ... + 2296.

21808128 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 1808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064440).

1808128 is an abundant number, since it is smaller than the sum of its proper divisors (2320752).

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

1808128 is an equidigital number, since it uses as much as digits as its factorization.

1808128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

The square root of 1808128 is about 1344.6665014047. Note that the first 3 decimals coincide. The cubic root of 1808128 is about 121.8268618129.

It can be divided in two parts, 1808 and 128, that added together give a square (1936 = 442).

The spelling of 1808128 in words is "one million, eight hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1009 1792 2018 4036 7063 8072 14126 16144 28252 32288 56504 64576 113008 129152 226016 258304 452032 904064 1808128