Search a number
2128896 = 21033711
BaseRepresentation
bin1000000111110000000000
311000011022000
420013300000
51021111041
6113344000
724044460
oct10076000
94004260
102128896
111224520
12868000
13597003
143d5ba0
152c0bb6
hex207c00

2128896 has 176 divisors, whose sum is σ = 7860480. Its totient is φ = 552960.

The previous prime is 2128891. The next prime is 2128933. The reversal of 2128896 is 6988212.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 2128896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193531 + ... + 193541.

22128896 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 2128896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930240).

2128896 is an abundant number, since it is smaller than the sum of its proper divisors (5731584).

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

2128896 is a wasteful number, since it uses less digits than its factorization.

2128896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 23 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2128896 is about 1459.0736787428. The cubic root of 2128896 is about 128.6426018632.

The spelling of 2128896 in words is "two million, one hundred twenty-eight thousand, eight hundred ninety-six".