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1683863685 = 3257217291549
BaseRepresentation
bin110010001011101…
…1011100010000101
311100100111010201200
41210113123202011
511422032114220
6435031013113
756504414400
oct14427334205
94310433650
101683863685
11794551789
123abb0a199
1320ab1995a
1411d8c4d37
159cc67890
hex645db885

1683863685 has 144 divisors (see below), whose sum is σ = 3721302000. Its totient is φ = 699052032.

The previous prime is 1683863681. The next prime is 1683863723. The reversal of 1683863685 is 5863683861.

It can be written as a sum of positive squares in 8 ways, for example, as 74529 + 1683789156 = 273^2 + 41034^2 .

It is not a de Polignac number, because 1683863685 - 22 = 1683863681 is a prime.

Its product of digits (4976640) is a multiple of the sum of its prime factors (1620).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683863681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1086291 + ... + 1087839.

It is an arithmetic number, because the mean of its divisors is an integer number (25842375).

Almost surely, 21683863685 is an apocalyptic number.

1683863685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1683863685 is an abundant number, since it is smaller than the sum of its proper divisors (2037438315).

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

1683863685 is a wasteful number, since it uses less digits than its factorization.

1683863685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1610 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 1683863685 is about 41034.9081271056. The cubic root of 1683863685 is about 1189.6950198838.

The spelling of 1683863685 in words is "one billion, six hundred eighty-three million, eight hundred sixty-three thousand, six hundred eighty-five".

Divisors: 1 3 5 7 9 15 17 21 29 35 45 49 51 63 85 87 105 119 145 147 153 203 245 255 261 315 357 435 441 493 595 609 735 765 833 1015 1071 1305 1421 1479 1549 1785 1827 2205 2465 2499 3045 3451 4165 4263 4437 4647 5355 7105 7395 7497 7745 9135 10353 10843 12495 12789 13941 17255 21315 22185 23235 24157 26333 31059 32529 37485 44921 51765 54215 63945 69705 72471 75901 78999 97587 120785 131665 134763 155295 162645 184331 217413 224605 227703 236997 314447 362355 379505 394995 404289 487935 552993 673815 683109 763657 921655 943341 1087065 1138515 1184985 1290317 1572235 1658979 2021445 2201129 2290971 2764965 2830023 3415545 3818285 3870951 4716705 5345599 6451585 6603387 6872913 8294895 11005645 11454855 11612853 14150115 16036797 19354755 19810161 26727995 33016935 34364565 37419193 48110391 58064265 80183985 99050805 112257579 187095965 240551955 336772737 561287895 1683863685