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13320410240 = 275127163883
BaseRepresentation
bin11000110011111010…
…10101010010000000
31021101022200221200102
430121331111102000
5204240011111430
610041434341532
7651043422164
oct143175252200
937338627612
1013320410240
11571602a405
1226b8b8a8a8
131343897867
14905132ca4
1552e643345
hex319f55480

13320410240 has 64 divisors (see below), whose sum is σ = 32095042560. Its totient is φ = 5286177792.

The previous prime is 13320410227. The next prime is 13320410267. The reversal of 13320410240 is 4201402331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 662 + ... + 163221.

It is an arithmetic number, because the mean of its divisors is an integer number (501485040).

Almost surely, 213320410240 is an apocalyptic number.

13320410240 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 13320410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16047521280).

13320410240 is an abundant number, since it is smaller than the sum of its proper divisors (18774632320).

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

13320410240 is a wasteful number, since it uses less digits than its factorization.

13320410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164029 (or 164017 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13320410240 its reverse (4201402331), we get a palindrome (17521812571).

The spelling of 13320410240 in words is "thirteen billion, three hundred twenty million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 320 508 635 640 1016 1270 2032 2540 4064 5080 8128 10160 16256 20320 40640 81280 163883 327766 655532 819415 1311064 1638830 2622128 3277660 5244256 6555320 10488512 13110640 20813141 20977024 26221280 41626282 52442560 83252564 104065705 104885120 166505128 208131410 333010256 416262820 666020512 832525640 1332041024 1665051280 2664082048 3330102560 6660205120 13320410240