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2013336 = 233413239
BaseRepresentation
bin111101011100010011000
310210021210000
413223202120
51003411321
6111053000
723053533
oct7534230
93707700
102013336
111155716
12811160
13556530
143a5a1a
1529b826
hex1eb898

2013336 has 80 divisors (see below), whose sum is σ = 6098400. Its totient is φ = 616896.

The previous prime is 2013329. The next prime is 2013337. The reversal of 2013336 is 6333102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013337) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 8305 + ... + 8543.

It is an arithmetic number, because the mean of its divisors is an integer number (76230).

22013336 is an apocalyptic number.

2013336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049200).

2013336 is an abundant number, since it is smaller than the sum of its proper divisors (4085064).

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

2013336 is a wasteful number, since it uses less digits than its factorization.

2013336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2013336 is about 1418.9207166012. The cubic root of 2013336 is about 126.2715233049.

Adding to 2013336 its reverse (6333102), we get a palindrome (8346438).

The spelling of 2013336 in words is "two million, thirteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 239 312 324 351 468 478 648 702 717 936 956 1053 1404 1434 1912 2106 2151 2808 2868 3107 4212 4302 5736 6214 6453 8424 8604 9321 12428 12906 17208 18642 19359 24856 25812 27963 37284 38718 51624 55926 74568 77436 83889 111852 154872 167778 223704 251667 335556 503334 671112 1006668 2013336