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2128256 = 27131279
BaseRepresentation
bin1000000111100110000000
311000010102022
420013212000
51021101011
6113341012
724042554
oct10074600
94003368
102128256
111223a99
12867768
13596930
143d5864
152c08db
hex207980

2128256 has 32 divisors (see below), whose sum is σ = 4569600. Its totient is φ = 981504.

The previous prime is 2128253. The next prime is 2128261. The reversal of 2128256 is 6528212.

2128256 is nontrivially palindromic in base 12.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128253) by changing a digit.

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, 1025 + ... + 2303.

It is an arithmetic number, because the mean of its divisors is an integer number (142800).

22128256 is an apocalyptic number.

2128256 is a gapful number since it is divisible by the number (26) 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 2128256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284800).

2128256 is an abundant number, since it is smaller than the sum of its proper divisors (2441344).

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

2128256 is a wasteful number, since it uses less digits than its factorization.

2128256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1294 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 2128256 is about 1458.8543450256. The cubic root of 2128256 is about 128.6297094975.

The spelling of 2128256 in words is "two million, one hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1279 1664 2558 5116 10232 16627 20464 33254 40928 66508 81856 133016 163712 266032 532064 1064128 2128256