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78963240 = 23351959587
BaseRepresentation
bin1001011010011…
…10001000101000
312111120202012110
410231032020220
5130203310430
611500242320
71646114346
oct455161050
9174522173
1078963240
1140633284
12225403a0
1313489515
14a6b6996
156deb7b0
hex4b4e228

78963240 has 128 divisors (see below), whose sum is σ = 254016000. Its totient is φ = 19577088.

The previous prime is 78963239. The next prime is 78963271. The reversal of 78963240 is 4236987.

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 31 ways as a sum of consecutive naturals, for example, 134227 + ... + 134813.

It is an arithmetic number, because the mean of its divisors is an integer number (1984500).

Almost surely, 278963240 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 78963240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008000).

78963240 is an abundant number, since it is smaller than the sum of its proper divisors (175052760).

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

78963240 is a wasteful number, since it uses less digits than its factorization.

78963240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 78963240 is about 8886.1262651394. The cubic root of 78963240 is about 429.0174790885.

The spelling of 78963240 in words is "seventy-eight million, nine hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 59 60 76 95 114 118 120 152 177 190 228 236 285 295 354 380 456 472 570 587 590 708 760 885 1121 1140 1174 1180 1416 1761 1770 2242 2280 2348 2360 2935 3363 3522 3540 4484 4696 5605 5870 6726 7044 7080 8805 8968 11153 11210 11740 13452 14088 16815 17610 22306 22420 23480 26904 33459 33630 34633 35220 44612 44840 55765 66918 67260 69266 70440 89224 103899 111530 133836 134520 138532 167295 173165 207798 223060 267672 277064 334590 346330 415596 446120 519495 658027 669180 692660 831192 1038990 1316054 1338360 1385320 1974081 2077980 2632108 3290135 3948162 4155960 5264216 6580270 7896324 9870405 13160540 15792648 19740810 26321080 39481620 78963240