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2128842 = 23417773
BaseRepresentation
bin1000000111101111001010
311000011020000
420013233022
51021110332
6113343430
724044352
oct10075712
94004200
102128842
111224481
12867b76
13596c91
143d5b62
152c0b7c
hex207bca

2128842 has 40 divisors (see below), whose sum is σ = 5057316. Its totient is φ = 667008.

The previous prime is 2128837. The next prime is 2128849. The reversal of 2128842 is 2488212.

2128842 is digitally balanced in base 2, 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 2 ways, for example, as 2099601 + 29241 = 1449^2 + 171^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2128849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2368 + ... + 3140.

22128842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2128842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528658).

2128842 is an abundant number, since it is smaller than the sum of its proper divisors (2928474).

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

2128842 is a wasteful number, since it uses less digits than its factorization.

2128842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 795 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 2128842 is about 1459.0551737340. The cubic root of 2128842 is about 128.6415141696.

The spelling of 2128842 in words is "two million, one hundred twenty-eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 773 918 1377 1546 2319 2754 4638 6957 13141 13914 20871 26282 39423 41742 62613 78846 118269 125226 236538 354807 709614 1064421 2128842