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12326820 = 22351119983
BaseRepresentation
bin101111000001…
…011110100100
3212012021012220
4233001132210
511123424240
61120112340
7206530152
oct57013644
925167186
1012326820
116a5a360
1241656b0
13272799c
1418cc3d2
1511375d0
hexbc17a4

12326820 has 96 divisors (see below), whose sum is σ = 39674880. Its totient is φ = 2828160.

The previous prime is 12326813. The next prime is 12326837. The reversal of 12326820 is 2862321.

12326820 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12049 + ... + 13031.

It is an arithmetic number, because the mean of its divisors is an integer number (413280).

Almost surely, 212326820 is an apocalyptic number.

12326820 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 12326820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19837440).

12326820 is an abundant number, since it is smaller than the sum of its proper divisors (27348060).

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

12326820 is a wasteful number, since it uses less digits than its factorization.

12326820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12326820 is about 3510.9571344578. The cubic root of 12326820 is about 231.0026798287.

The spelling of 12326820 in words is "twelve million, three hundred twenty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 983 1045 1140 1254 1966 2090 2508 2949 3135 3932 4180 4915 5898 6270 9830 10813 11796 12540 14745 18677 19660 21626 29490 32439 37354 43252 54065 56031 58980 64878 74708 93385 108130 112062 129756 162195 186770 205447 216260 224124 280155 324390 373540 410894 560310 616341 648780 821788 1027235 1120620 1232682 2054470 2465364 3081705 4108940 6163410 12326820