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42963180 = 223513219223
BaseRepresentation
bin1010001111100…
…1000011101100
32222211202101220
42203321003230
541444310210
64132503340
71031116041
oct243710354
988752356
1042963180
1122284967
121247ab50
138b93500
1459c51c8
153b89c70
hex28f90ec

42963180 has 144 divisors (see below), whose sum is σ = 137733120. Its totient is φ = 9974016.

The previous prime is 42963169. The next prime is 42963191. The reversal of 42963180 is 8136924.

42963180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42963169) and next prime (42963191).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192549 + ... + 192771.

It is an arithmetic number, because the mean of its divisors is an integer number (956480).

Almost surely, 242963180 is an apocalyptic number.

42963180 is the 5352-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42963180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68866560).

42963180 is an abundant number, since it is smaller than the sum of its proper divisors (94769940).

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

42963180 is a wasteful number, since it uses less digits than its factorization.

42963180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 42963180 is about 6554.6304243641. The cubic root of 42963180 is about 350.2397812691.

The spelling of 42963180 in words is "forty-two million, nine hundred sixty-three thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 169 190 195 223 228 247 260 285 338 380 390 446 494 507 570 669 676 741 780 845 892 988 1014 1115 1140 1235 1338 1482 1690 2028 2230 2470 2535 2676 2899 2964 3211 3345 3380 3705 4237 4460 4940 5070 5798 6422 6690 7410 8474 8697 9633 10140 11596 12711 12844 13380 14495 14820 16055 16948 17394 19266 21185 25422 28990 32110 34788 37687 38532 42370 43485 48165 50844 55081 57980 63555 64220 75374 84740 86970 96330 110162 113061 127110 150748 165243 173940 188435 192660 220324 226122 254220 275405 330486 376870 452244 550810 565305 660972 716053 753740 826215 1101620 1130610 1432106 1652430 2148159 2261220 2864212 3304860 3580265 4296318 7160530 8592636 10740795 14321060 21481590 42963180