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13306560 = 263583167
BaseRepresentation
bin110010110000…
…101011000000
3221001001011120
4302300223000
511401302220
61153112240
7221050431
oct62605300
927031146
1013306560
117569463
124558680
1329ab907
141aa5488
15127ca40
hexcb0ac0

13306560 has 112 divisors (see below), whose sum is σ = 43013376. Its totient is φ = 3484672.

The previous prime is 13306549. The next prime is 13306583. The reversal of 13306560 is 6560331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13306560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79597 + ... + 79763.

It is an arithmetic number, because the mean of its divisors is an integer number (384048).

Almost surely, 213306560 is an apocalyptic number.

13306560 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 13306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21506688).

13306560 is an abundant number, since it is smaller than the sum of its proper divisors (29706816).

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

13306560 is a wasteful number, since it uses less digits than its factorization.

13306560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 13306560 is about 3647.8157848225. The cubic root of 13306560 is about 236.9673974630.

Adding to 13306560 its reverse (6560331), we get a palindrome (19866891).

The spelling of 13306560 in words is "thirteen million, three hundred six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 83 96 120 160 166 167 192 240 249 320 332 334 415 480 498 501 664 668 830 835 960 996 1002 1245 1328 1336 1660 1670 1992 2004 2490 2505 2656 2672 3320 3340 3984 4008 4980 5010 5312 5344 6640 6680 7968 8016 9960 10020 10688 13280 13360 13861 15936 16032 19920 20040 26560 26720 27722 32064 39840 40080 41583 53440 55444 69305 79680 80160 83166 110888 138610 160320 166332 207915 221776 277220 332664 415830 443552 554440 665328 831660 887104 1108880 1330656 1663320 2217760 2661312 3326640 4435520 6653280 13306560