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13206240 = 253451019
BaseRepresentation
bin110010011000…
…001011100000
3220211221120000
4302120023200
511340044430
61151020000
7220152105
oct62301340
926757500
1013206240
117500053
12450a600
132975058
141a7aaac
15125ce60
hexc982e0

13206240 has 120 divisors (see below), whose sum is σ = 46652760. Its totient is φ = 3518208.

The previous prime is 13206233. The next prime is 13206253. The reversal of 13206240 is 4260231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12451 + ... + 13469.

It is an arithmetic number, because the mean of its divisors is an integer number (388773).

Almost surely, 213206240 is an apocalyptic number.

13206240 is a gapful number since it is divisible by the number (10) 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 13206240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23326380).

13206240 is an abundant number, since it is smaller than the sum of its proper divisors (33446520).

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

13206240 is a wasteful number, since it uses less digits than its factorization.

13206240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13206240 is about 3634.0390751889. The cubic root of 13206240 is about 236.3703846020.

Adding to 13206240 its reverse (4260231), we get a palindrome (17466471).

The spelling of 13206240 in words is "thirteen million, two hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1019 1080 1296 1440 1620 2038 2160 2592 3057 3240 4076 4320 5095 6114 6480 8152 9171 10190 12228 12960 15285 16304 18342 20380 24456 27513 30570 32608 36684 40760 45855 48912 55026 61140 73368 81520 82539 91710 97824 110052 122280 137565 146736 163040 165078 183420 220104 244560 275130 293472 330156 366840 412695 440208 489120 550260 660312 733680 825390 880416 1100520 1320624 1467360 1650780 2201040 2641248 3301560 4402080 6603120 13206240