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2013273 = 32223697
BaseRepresentation
bin111101011100001011001
310210021200200
413223201121
51003411043
6111052413
723053413
oct7534131
93707620
102013273
111155669
12811109
135564b2
143a59b3
1529b7d3
hex1eb859

2013273 has 6 divisors (see below), whose sum is σ = 2908074. Its totient is φ = 1342176.

The previous prime is 2013251. The next prime is 2013287. The reversal of 2013273 is 3723102.

It can be written as a sum of positive squares in only one way, i.e., 1734489 + 278784 = 1317^2 + 528^2 .

It is not a de Polignac number, because 2013273 - 25 = 2013241 is a prime.

2013273 is a lucky number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (2013173) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111840 + ... + 111857.

It is an arithmetic number, because the mean of its divisors is an integer number (484679).

22013273 is an apocalyptic number.

It is an amenable number.

2013273 is a deficient number, since it is larger than the sum of its proper divisors (894801).

2013273 is a wasteful number, since it uses less digits than its factorization.

2013273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223703 (or 223700 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 2013273 is about 1418.8985164556. The cubic root of 2013273 is about 126.2702062224.

Subtracting from 2013273 its product of nonzero digits (252), we obtain a triangular number (2013021 = T2006).

Adding to 2013273 its reverse (3723102), we get a palindrome (5736375).

The spelling of 2013273 in words is "two million, thirteen thousand, two hundred seventy-three".

Divisors: 1 3 9 223697 671091 2013273