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12138660 = 2234559127
BaseRepresentation
bin101110010011…
…100010100100
3211211201010000
4232103202210
511101414120
61112101300
7205114452
oct56234244
924751100
1012138660
116940a56
124094830
132690151
14187d9d2
1510eb990
hexb938a4

12138660 has 120 divisors (see below), whose sum is σ = 39029760. Its totient is φ = 3157056.

The previous prime is 12138649. The next prime is 12138661. The reversal of 12138660 is 6683121.

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

It is not an unprimeable number, because it can be changed into a prime (12138661) by changing a digit.

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, 95517 + ... + 95643.

It is an arithmetic number, because the mean of its divisors is an integer number (325248).

Almost surely, 212138660 is an apocalyptic number.

12138660 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 12138660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514880).

12138660 is an abundant number, since it is smaller than the sum of its proper divisors (26891100).

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

12138660 is a wasteful number, since it uses less digits than its factorization.

12138660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

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

The square root of 12138660 is about 3484.0579788517. The cubic root of 12138660 is about 229.8212852415.

It can be divided in two parts, 121 and 38660, that added together give a triangular number (38781 = T278).

The spelling of 12138660 in words is "twelve million, one hundred thirty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 81 90 108 118 127 135 162 177 180 236 254 270 295 324 354 381 405 508 531 540 590 635 708 762 810 885 1062 1143 1180 1270 1524 1593 1620 1770 1905 2124 2286 2540 2655 3186 3429 3540 3810 4572 4779 5310 5715 6372 6858 7493 7620 7965 9558 10287 10620 11430 13716 14986 15930 17145 19116 20574 22479 22860 23895 29972 31860 34290 37465 41148 44958 47790 51435 67437 68580 74930 89916 95580 102870 112395 134874 149860 202311 205740 224790 269748 337185 404622 449580 606933 674370 809244 1011555 1213866 1348740 2023110 2427732 3034665 4046220 6069330 12138660