Search a number
-
+
2013849 = 3374587
BaseRepresentation
bin111101011101010011001
310210022111000
413223222121
51003420344
6111055213
723055165
oct7535231
93708430
102013849
111156042
12811509
13556836
143a5ca5
1529ba69
hex1eba99

2013849 has 8 divisors (see below), whose sum is σ = 2983520. Its totient is φ = 1342548.

The previous prime is 2013833. The next prime is 2013859. The reversal of 2013849 is 9483102.

It is not a de Polignac number, because 2013849 - 24 = 2013833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 74587 = 2013849 / (2 + 0 + 1 + 3 + 8 + 4 + 9).

It is a Duffinian number.

2013849 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2013859) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 37267 + ... + 37320.

It is an arithmetic number, because the mean of its divisors is an integer number (372940).

22013849 is an apocalyptic number.

It is an amenable number.

2013849 is a deficient number, since it is larger than the sum of its proper divisors (969671).

2013849 is an equidigital number, since it uses as much as digits as its factorization.

2013849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74596 (or 74590 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2013849 is about 1419.1014762870. The cubic root of 2013849 is about 126.2822470971.

The spelling of 2013849 in words is "two million, thirteen thousand, eight hundred forty-nine".

Divisors: 1 3 9 27 74587 223761 671283 2013849