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2013240 = 233519883
BaseRepresentation
bin111101011100000111000
310210021122110
413223200320
51003410430
6111052320
723053335
oct7534070
93707573
102013240
111155639
128110a0
13556488
143a598c
1529b7b0
hex1eb838

2013240 has 64 divisors (see below), whose sum is σ = 6364800. Its totient is φ = 508032.

The previous prime is 2013229. The next prime is 2013241. The reversal of 2013240 is 423102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013241) 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 15 ways as a sum of consecutive naturals, for example, 1839 + ... + 2721.

It is an arithmetic number, because the mean of its divisors is an integer number (99450).

22013240 is an apocalyptic number.

2013240 is a gapful number since it is divisible by the number (20) 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 2013240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182400).

2013240 is an abundant number, since it is smaller than the sum of its proper divisors (4351560).

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

2013240 is a wasteful number, since it uses less digits than its factorization.

2013240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2013240 is about 1418.8868876693. The cubic root of 2013240 is about 126.2695163111.

Adding to 2013240 its reverse (423102), we get a palindrome (2436342).

The spelling of 2013240 in words is "two million, thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 883 1140 1766 2280 2649 3532 4415 5298 7064 8830 10596 13245 16777 17660 21192 26490 33554 35320 50331 52980 67108 83885 100662 105960 134216 167770 201324 251655 335540 402648 503310 671080 1006620 2013240