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2168128 = 26191783
BaseRepresentation
bin1000010001010101000000
311002011010001
420101111000
51023340003
6114245344
724300034
oct10212500
94064101
102168128
111250a46
12886854
135abb21
144061c4
152cc61d
hex211540

2168128 has 28 divisors (see below), whose sum is σ = 4531360. Its totient is φ = 1026432.

The previous prime is 2168107. The next prime is 2168143. The reversal of 2168128 is 8218612.

It is a junction number, because it is equal to n+sod(n) for n = 2168096 and 2168105.

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, 325 + ... + 2107.

22168128 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 2168128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265680).

2168128 is an abundant number, since it is smaller than the sum of its proper divisors (2363232).

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

2168128 is a wasteful number, since it uses less digits than its factorization.

2168128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1804 counting only the distinct ones).

The product of its digits is 1536, while the sum is 28.

The square root of 2168128 is about 1472.4564509689. The cubic root of 2168128 is about 129.4280196079.

The spelling of 2168128 in words is "two million, one hundred sixty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 1783 3566 7132 14264 28528 33877 57056 67754 114112 135508 271016 542032 1084064 2168128