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12181140 = 22325313759
BaseRepresentation
bin101110011101…
…111010010100
3211220212101100
4232131322110
511104244030
61113030100
7205352346
oct56357224
924825340
1012181140
11696a964
1240b5330
1326a659a
141891296
151109360
hexb9de94

12181140 has 144 divisors (see below), whose sum is σ = 39836160. Its totient is φ = 3006720.

The previous prime is 12181139. The next prime is 12181157. The reversal of 12181140 is 4118121.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 206431 + ... + 206489.

It is an arithmetic number, because the mean of its divisors is an integer number (276640).

Almost surely, 212181140 is an apocalyptic number.

12181140 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 12181140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19918080).

12181140 is an abundant number, since it is smaller than the sum of its proper divisors (27655020).

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

12181140 is a wasteful number, since it uses less digits than its factorization.

12181140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 12181140 is about 3490.1489939543. The cubic root of 12181140 is about 230.0890644353.

Adding to 12181140 its reverse (4118121), we get a palindrome (16299261).

It can be divided in two parts, 12181 and 140, that added together give a palindrome (12321).

The spelling of 12181140 in words is "twelve million, one hundred eighty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 37 45 59 60 62 74 90 93 111 118 124 148 155 177 180 185 186 222 236 279 295 310 333 354 370 372 444 465 531 555 558 590 620 666 708 740 885 930 1062 1110 1116 1147 1180 1332 1395 1665 1770 1829 1860 2124 2183 2220 2294 2655 2790 3330 3441 3540 3658 4366 4588 5310 5487 5580 5735 6549 6660 6882 7316 8732 9145 10323 10620 10915 10974 11470 13098 13764 16461 17205 18290 19647 20646 21830 21948 22940 26196 27435 32745 32922 34410 36580 39294 41292 43660 51615 54870 65490 65844 67673 68820 78588 82305 98235 103230 109740 130980 135346 164610 196470 203019 206460 270692 329220 338365 392940 406038 609057 676730 812076 1015095 1218114 1353460 2030190 2436228 3045285 4060380 6090570 12181140