Search a number
-
+
78763740 = 223511219571
BaseRepresentation
bin1001011000111…
…01011011011100
312111012121112120
410230131123130
5130130414430
611452102540
71644323616
oct454353334
9174177476
1078763740
1140507400
1222464a50
1313419783
14a663db6
156dac610
hex4b1d6dc

78763740 has 144 divisors (see below), whose sum is σ = 255615360. Its totient is φ = 18057600.

The previous prime is 78763733. The next prime is 78763781. The reversal of 78763740 is 4736787.

It is a junction number, because it is equal to n+sod(n) for n = 78763692 and 78763701.

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, 137655 + ... + 138225.

Almost surely, 278763740 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 78763740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127807680).

78763740 is an abundant number, since it is smaller than the sum of its proper divisors (176851620).

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

78763740 is a wasteful number, since it uses less digits than its factorization.

78763740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 78763740 is about 8874.8938021815. The cubic root of 78763740 is about 428.6558712974.

The spelling of 78763740 in words is "seventy-eight million, seven hundred sixty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 121 132 165 190 209 220 228 242 285 330 363 380 418 484 570 571 605 627 660 726 836 1045 1140 1142 1210 1254 1452 1713 1815 2090 2284 2299 2420 2508 2855 3135 3426 3630 4180 4598 5710 6270 6281 6852 6897 7260 8565 9196 10849 11420 11495 12540 12562 13794 17130 18843 21698 22990 25124 27588 31405 32547 34260 34485 37686 43396 45980 54245 62810 65094 68970 69091 75372 94215 108490 119339 125620 130188 137940 138182 162735 188430 207273 216980 238678 276364 325470 345455 358017 376860 414546 477356 596695 650940 690910 716034 829092 1036365 1193390 1312729 1381820 1432068 1790085 2072730 2386780 2625458 3580170 3938187 4145460 5250916 6563645 7160340 7876374 13127290 15752748 19690935 26254580 39381870 78763740