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865318140 = 22355199371
BaseRepresentation
bin110011100100111…
…011010011111100
32020022020201100000
4303210323103330
53233010140030
6221510434300
730305040261
oct6344732374
92208221300
10865318140
114044a4365
12201962990
1310a37268b
1482ccd268
1550e7a860
hex3393b4fc

865318140 has 144 divisors (see below), whose sum is σ = 2865582720. Its totient is φ = 218583360.

The previous prime is 865318133. The next prime is 865318169. The reversal of 865318140 is 41813568.

865318140 is a `hidden beast` number, since 8 + 6 + 531 + 81 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 865318095 and 865318104.

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, 87655 + ... + 97025.

It is an arithmetic number, because the mean of its divisors is an integer number (19899880).

Almost surely, 2865318140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 865318140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432791360).

865318140 is an abundant number, since it is smaller than the sum of its proper divisors (2000264580).

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

865318140 is a wasteful number, since it uses less digits than its factorization.

865318140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9414 (or 9400 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 865318140 is about 29416.2903847511. The cubic root of 865318140 is about 952.9247408204.

The spelling of 865318140 in words is "eight hundred sixty-five million, three hundred eighteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 243 270 285 324 342 380 405 486 513 540 570 684 810 855 972 1026 1140 1215 1539 1620 1710 2052 2430 2565 3078 3420 4617 4860 5130 6156 7695 9234 9371 10260 15390 18468 18742 23085 28113 30780 37484 46170 46855 56226 84339 92340 93710 112452 140565 168678 178049 187420 253017 281130 337356 356098 421695 506034 534147 562260 712196 759051 843390 890245 1012068 1068294 1265085 1518102 1602441 1686780 1780490 2136588 2277153 2530170 2670735 3036204 3204882 3560980 3795255 4554306 4807323 5060340 5341470 6409764 7590510 8012205 9108612 9614646 10682940 11385765 14421969 15181020 16024410 19229292 22771530 24036615 28843938 32048820 43265907 45543060 48073230 57687876 72109845 86531814 96146460 144219690 173063628 216329535 288439380 432659070 865318140