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12196140 = 223511171087
BaseRepresentation
bin101110100001…
…100100101100
3211221121221220
4232201210230
511110234030
61113223340
7205444155
oct56414454
924847856
1012196140
116980160
124101b50
1326b0368
14189692c
15110da10
hexba192c

12196140 has 96 divisors (see below), whose sum is σ = 39481344. Its totient is φ = 2780160.

The previous prime is 12196109. The next prime is 12196159. The reversal of 12196140 is 4169121.

It is a self number, because there is not a number n which added to its sum of digits gives 12196140.

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 31 ways as a sum of consecutive naturals, for example, 10677 + ... + 11763.

It is an arithmetic number, because the mean of its divisors is an integer number (411264).

Almost surely, 212196140 is an apocalyptic number.

12196140 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 12196140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19740672).

12196140 is an abundant number, since it is smaller than the sum of its proper divisors (27285204).

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

12196140 is a wasteful number, since it uses less digits than its factorization.

12196140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 12196140 is about 3492.2972382087. The cubic root of 12196140 is about 230.1834704943.

The spelling of 12196140 in words is "twelve million, one hundred ninety-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1087 1122 1870 2174 2244 2805 3261 3740 4348 5435 5610 6522 10870 11220 11957 13044 16305 18479 21740 23914 32610 35871 36958 47828 55437 59785 65220 71742 73916 92395 110874 119570 143484 179355 184790 203269 221748 239140 277185 358710 369580 406538 554370 609807 717420 813076 1016345 1108740 1219614 2032690 2439228 3049035 4065380 6098070 12196140