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2013039 = 33710651
BaseRepresentation
bin111101011011101101111
310210021101000
413223131233
51003404124
6111051343
723052630
oct7533557
93707330
102013039
111155476
12810b53
13556362
143a5887
1529b6c9
hex1eb76f

2013039 has 16 divisors (see below), whose sum is σ = 3408640. Its totient is φ = 1150200.

The previous prime is 2013023. The next prime is 2013043. The reversal of 2013039 is 9303102.

It is not a de Polignac number, because 2013039 - 24 = 2013023 is a prime.

It is a Duffinian number.

2013039 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5137 + ... + 5514.

It is an arithmetic number, because the mean of its divisors is an integer number (213040).

22013039 is an apocalyptic number.

2013039 is a deficient number, since it is larger than the sum of its proper divisors (1395601).

2013039 is a wasteful number, since it uses less digits than its factorization.

2013039 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10667 (or 10661 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 2013039 is about 1418.8160557310. The cubic root of 2013039 is about 126.2653139611.

Subtracting from 2013039 its sum of digits (18), we obtain a triangular number (2013021 = T2006).

It can be divided in two parts, 201 and 3039, that added together give a triangular number (3240 = T80).

The spelling of 2013039 in words is "two million, thirteen thousand, thirty-nine".

Divisors: 1 3 7 9 21 27 63 189 10651 31953 74557 95859 223671 287577 671013 2013039