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78063660 = 223251797263
BaseRepresentation
bin1001010011100…
…10100000101100
312102220001012200
410221302200230
5124441014120
611425101500
71635346563
oct451624054
9172801180
1078063660
1140079424
1222187890
1313232c1c
14a520bda
156cbee90
hex4a7282c

78063660 has 144 divisors (see below), whose sum is σ = 254270016. Its totient is φ = 19316736.

The previous prime is 78063641. The next prime is 78063683. The reversal of 78063660 is 6636087.

It is a happy number.

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

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 47 ways as a sum of consecutive naturals, for example, 296689 + ... + 296951.

It is an arithmetic number, because the mean of its divisors is an integer number (1765764).

Almost surely, 278063660 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 78063660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127135008).

78063660 is an abundant number, since it is smaller than the sum of its proper divisors (176206356).

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

78063660 is a wasteful number, since it uses less digits than its factorization.

78063660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 78063660 is about 8835.3641690651. The cubic root of 78063660 is about 427.3820747886.

The spelling of 78063660 in words is "seventy-eight million, sixty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 97 102 153 170 180 194 204 255 263 291 306 340 388 485 510 526 582 612 765 789 873 970 1020 1052 1164 1315 1455 1530 1578 1649 1746 1940 2367 2630 2910 3060 3156 3298 3492 3945 4365 4471 4734 4947 5260 5820 6596 7890 8245 8730 8942 9468 9894 11835 13413 14841 15780 16490 17460 17884 19788 22355 23670 24735 25511 26826 29682 32980 40239 44710 47340 49470 51022 53652 59364 67065 74205 76533 80478 89420 98940 102044 127555 134130 148410 153066 160956 201195 229599 255110 268260 296820 306132 382665 402390 433687 459198 510220 765330 804780 867374 918396 1147995 1301061 1530660 1734748 2168435 2295990 2602122 3903183 4336870 4591980 5204244 6505305 7806366 8673740 13010610 15612732 19515915 26021220 39031830 78063660