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1483165680 = 2435171133217
BaseRepresentation
bin101100001100111…
…0100111111110000
310211100211121211020
41120121310333300
511014142300210
6403101215440
751516462123
oct13031647760
93740747736
101483165680
116a1232367
12354861580
131a8379a39
14100da03ba
158a321770
hex58674ff0

1483165680 has 160 divisors (see below), whose sum is σ = 4912881984. Its totient is φ = 368836608.

The previous prime is 1483165679. The next prime is 1483165711. The reversal of 1483165680 is 865613841.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459432 + ... + 462648.

Almost surely, 21483165680 is an apocalyptic number.

1483165680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1483165680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456440992).

1483165680 is an abundant number, since it is smaller than the sum of its proper divisors (3429716304).

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

1483165680 is a wasteful number, since it uses less digits than its factorization.

1483165680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 1483165680 is about 38511.8901120161. The cubic root of 1483165680 is about 1140.4157916972.

The spelling of 1483165680 in words is "one billion, four hundred eighty-three million, one hundred sixty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 113 120 136 170 204 226 240 255 272 339 340 408 452 510 565 678 680 816 904 1020 1130 1356 1360 1695 1808 1921 2040 2260 2712 3217 3390 3842 4080 4520 5424 5763 6434 6780 7684 9040 9605 9651 11526 12868 13560 15368 16085 19210 19302 23052 25736 27120 28815 30736 32170 38420 38604 46104 48255 51472 54689 57630 64340 76840 77208 92208 96510 109378 115260 128680 153680 154416 164067 193020 218756 230520 257360 273445 328134 363521 386040 437512 461040 546890 656268 727042 772080 820335 875024 1090563 1093780 1312536 1454084 1640670 1817605 2181126 2187560 2625072 2908168 3281340 3635210 4362252 4375120 5452815 5816336 6179857 6562680 7270420 8724504 10905630 12359714 13125360 14540840 17449008 18539571 21811260 24719428 29081680 30899285 37079142 43622520 49438856 61798570 74158284 87245040 92697855 98877712 123597140 148316568 185395710 247194280 296633136 370791420 494388560 741582840 1483165680