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12146940 = 223251329179
BaseRepresentation
bin101110010101…
…100011111100
3211212010110200
4232111203330
511102200230
61112203500
7205150551
oct56254374
924763420
1012146940
1169471a3
124099590
132693b50
141882a28
1510ee160
hexb958fc

12146940 has 144 divisors (see below), whose sum is σ = 41277600. Its totient is φ = 2870784.

The previous prime is 12146917. The next prime is 12146951. The reversal of 12146940 is 4964121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67771 + ... + 67949.

It is an arithmetic number, because the mean of its divisors is an integer number (286650).

Almost surely, 212146940 is an apocalyptic number.

12146940 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 12146940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638800).

12146940 is an abundant number, since it is smaller than the sum of its proper divisors (29130660).

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

12146940 is a wasteful number, since it uses less digits than its factorization.

12146940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12146940 is about 3485.2460458338. The cubic root of 12146940 is about 229.8735284527.

The spelling of 12146940 in words is "twelve million, one hundred forty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 179 180 195 234 260 261 290 348 358 377 390 435 468 522 537 580 585 716 754 780 870 895 1044 1074 1131 1170 1305 1508 1611 1740 1790 1885 2148 2262 2327 2340 2610 2685 3222 3393 3580 3770 4524 4654 5191 5220 5370 5655 6444 6786 6981 7540 8055 9308 10382 10740 11310 11635 13572 13962 15573 16110 16965 20764 20943 22620 23270 25955 27924 31146 32220 33930 34905 41886 46540 46719 51910 62292 67483 67860 69810 77865 83772 93438 103820 104715 134966 139620 155730 186876 202449 209430 233595 269932 311460 337415 404898 418860 467190 607347 674830 809796 934380 1012245 1214694 1349660 2024490 2429388 3036735 4048980 6073470 12146940