Base | Representation |
---|---|
bin | 111110000111000101010 |
3 | 10211101211100 |
4 | 13300320222 |
5 | 1010111432 |
6 | 111342230 |
7 | 23204436 |
oct | 7607052 |
9 | 3741740 |
10 | 2035242 |
11 | 1170120 |
12 | 821976 |
13 | 5634b1 |
14 | 3ad9c6 |
15 | 2a307c |
hex | 1f0e2a |
2035242 has 48 divisors (see below), whose sum is σ = 5073120. Its totient is φ = 583200.
The previous prime is 2035237. The next prime is 2035273. The reversal of 2035242 is 2425302.
Added to its reverse (2425302) it gives a square (4460544 = 21122).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 3492 + ... + 4032.
It is an arithmetic number, because the mean of its divisors is an integer number (105690).
22035242 is an apocalyptic number.
2035242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 2035242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536560).
2035242 is an abundant number, since it is smaller than the sum of its proper divisors (3037878).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2035242 is a wasteful number, since it uses less digits than its factorization.
2035242 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 579 (or 576 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 18.
The square root of 2035242 is about 1426.6190802033. The cubic root of 2035242 is about 126.7278359527.
Adding to 2035242 its reverse (2425302), we get a square (4460544 = 21122).
It can be divided in two parts, 203 and 5242, that added together give a palindrome (5445).
The spelling of 2035242 in words is "two million, thirty-five thousand, two hundred forty-two".
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