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12073860 = 2234529257
BaseRepresentation
bin101110000011…
…101110000100
3211201102020000
4232003232010
511042330420
61110441300
7204424521
oct56035604
924642200
1012073860
1168a72a7
124063230
1326697c6
141864148
1510d7690
hexb83b84

12073860 has 120 divisors (see below), whose sum is σ = 39334680. Its totient is φ = 3096576.

The previous prime is 12073823. The next prime is 12073871. The reversal of 12073860 is 6837021.

It can be written as a sum of positive squares in 4 ways, for example, as 4588164 + 7485696 = 2142^2 + 2736^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 46852 + ... + 47108.

It is an arithmetic number, because the mean of its divisors is an integer number (327789).

Almost surely, 212073860 is an apocalyptic number.

12073860 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 12073860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19667340).

12073860 is an abundant number, since it is smaller than the sum of its proper divisors (27260820).

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

12073860 is a wasteful number, since it uses less digits than its factorization.

12073860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12073860 is about 3474.7460338851. The cubic root of 12073860 is about 229.4116025060.

The spelling of 12073860 in words is "twelve million, seventy-three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 257 261 270 290 324 348 405 435 514 522 540 580 771 783 810 870 1028 1044 1285 1305 1542 1566 1620 1740 2313 2349 2570 2610 3084 3132 3855 3915 4626 4698 5140 5220 6939 7453 7710 7830 9252 9396 11565 11745 13878 14906 15420 15660 20817 22359 23130 23490 27756 29812 34695 37265 41634 44718 46260 46980 67077 69390 74530 83268 89436 104085 111795 134154 138780 149060 201231 208170 223590 268308 335385 402462 416340 447180 603693 670770 804924 1006155 1207386 1341540 2012310 2414772 3018465 4024620 6036930 12073860