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2013642 = 232111869
BaseRepresentation
bin111101011100111001010
310210022012100
413223213022
51003414032
6111054230
723054451
oct7534712
93708170
102013642
111155974
12811376
13556707
143a5b98
1529b97c
hex1eb9ca

2013642 has 12 divisors (see below), whose sum is σ = 4362930. Its totient is φ = 671208.

The previous prime is 2013619. The next prime is 2013653. The reversal of 2013642 is 2463102.

It is a happy number.

2013642 is a `hidden beast` number, since 20 + 1 + 3 + 642 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2013561 + 81 = 1419^2 + 9^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 111869 = 2013642 / (2 + 0 + 1 + 3 + 6 + 4 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55917 + ... + 55952.

22013642 is an apocalyptic number.

2013642 is an abundant number, since it is smaller than the sum of its proper divisors (2349288).

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

2013642 is a wasteful number, since it uses less digits than its factorization.

2013642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111877 (or 111874 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2013642 is about 1419.0285409392. The cubic root of 2013642 is about 126.2779201721.

Adding to 2013642 its reverse (2463102), we get a palindrome (4476744).

The spelling of 2013642 in words is "two million, thirteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 111869 223738 335607 671214 1006821 2013642