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12865320 = 23325132749
BaseRepresentation
bin110001000100…
…111100101000
3220012121220100
4301010330220
511243142240
61135425400
7214232136
oct61047450
926177810
1012865320
1172979a6
124385260
132885b20
1419cc756
1511e1e30
hexc44f28

12865320 has 96 divisors (see below), whose sum is σ = 45045000. Its totient is φ = 3165696.

The previous prime is 12865319. The next prime is 12865331. The reversal of 12865320 is 2356821.

12865320 is a `hidden beast` number, since 1 + 2 + 8 + 653 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5280804 + 7584516 = 2298^2 + 2754^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3306 + ... + 6054.

Almost surely, 212865320 is an apocalyptic number.

12865320 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 12865320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22522500).

12865320 is an abundant number, since it is smaller than the sum of its proper divisors (32179680).

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

12865320 is a wasteful number, since it uses less digits than its factorization.

12865320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12865320 is about 3586.8258948547. The cubic root of 12865320 is about 234.3186541884.

The spelling of 12865320 in words is "twelve million, eight hundred sixty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 2749 4680 5498 8247 10996 13745 16494 21992 24741 27490 32988 35737 41235 49482 54980 65976 71474 82470 98964 107211 109960 123705 142948 164940 178685 197928 214422 247410 285896 321633 329880 357370 428844 494820 536055 643266 714740 857688 989640 1072110 1286532 1429480 1608165 2144220 2573064 3216330 4288440 6432660 12865320