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78730380 = 22345232113
BaseRepresentation
bin1001011000101…
…01010010001100
312111010220210000
410230111102030
5130123333010
611451244300
71644124431
oct454252214
9174126700
1078730380
1140494333
1222449690
1313407531
14a655b88
156da27c0
hex4b1548c

78730380 has 120 divisors (see below), whose sum is σ = 257840352. Its totient is φ = 20072448.

The previous prime is 78730363. The next prime is 78730381. The reversal of 78730380 is 8303787.

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

It is not an unprimeable number, because it can be changed into a prime (78730381) 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, 36204 + ... + 38316.

Almost surely, 278730380 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 78730380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128920176).

78730380 is an abundant number, since it is smaller than the sum of its proper divisors (179109972).

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

78730380 is a wasteful number, since it uses less digits than its factorization.

78730380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 78730380 is about 8873.0141440212. The cubic root of 78730380 is about 428.5953443797.

The spelling of 78730380 in words is "seventy-eight million, seven hundred thirty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 270 276 324 345 405 414 460 540 621 690 810 828 1035 1242 1380 1620 1863 2070 2113 2484 3105 3726 4140 4226 6210 6339 7452 8452 9315 10565 12420 12678 18630 19017 21130 25356 31695 37260 38034 42260 48599 57051 63390 76068 95085 97198 114102 126780 145797 171153 190170 194396 228204 242995 285255 291594 342306 380340 437391 485990 570510 583188 684612 728985 855765 874782 971980 1141020 1312173 1457970 1711530 1749564 2186955 2624346 2915940 3423060 3936519 4373910 5248692 6560865 7873038 8747820 13121730 15746076 19682595 26243460 39365190 78730380