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1075842 = 23429229
BaseRepresentation
bin100000110101010000010
32000122210000
410012222002
5233411332
635020430
712100365
oct4065202
92018700
101075842
11675329
1243a716
132b88c1
142000dc
15163b7c
hex106a82

1075842 has 40 divisors (see below), whose sum is σ = 2504700. Its totient is φ = 344736.

The previous prime is 1075807. The next prime is 1075843. The reversal of 1075842 is 2485701.

It can be written as a sum of positive squares in 2 ways, for example, as 998001 + 77841 = 999^2 + 279^2 .

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 (1075843) 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 19 ways as a sum of consecutive naturals, for example, 4584 + ... + 4812.

21075842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1075842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252350).

1075842 is an abundant number, since it is smaller than the sum of its proper divisors (1428858).

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

1075842 is a wasteful number, since it uses less digits than its factorization.

1075842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1075842 is about 1037.2280366438. The cubic root of 1075842 is about 102.4667193162.

The spelling of 1075842 in words is "one million, seventy-five thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 229 261 458 522 687 783 1374 1566 2061 2349 4122 4698 6183 6641 12366 13282 18549 19923 37098 39846 59769 119538 179307 358614 537921 1075842