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1685065320 = 2332523320089
BaseRepresentation
bin110010001110000…
…0000111001101000
311100102202012001200
41210130000321220
511422334042240
6435112444200
756520550611
oct14434007150
94312665050
101685065320
117951a2574
123b03a9660
1320b14a893
1411db18c08
159ce03930
hex64700e68

1685065320 has 96 divisors (see below), whose sum is σ = 5500240200. Its totient is φ = 447399936.

The previous prime is 1685065301. The next prime is 1685065363. The reversal of 1685065320 is 235605861.

It can be written as a sum of positive squares in 4 ways, for example, as 768065796 + 916999524 = 27714^2 + 30282^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73836 + ... + 93924.

Almost surely, 21685065320 is an apocalyptic number.

1685065320 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 1685065320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750120100).

1685065320 is an abundant number, since it is smaller than the sum of its proper divisors (3815174880).

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

1685065320 is a wasteful number, since it uses less digits than its factorization.

1685065320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20339 (or 20332 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1685065320 is about 41049.5471351390. The cubic root of 1685065320 is about 1189.9779484180.

The spelling of 1685065320 in words is "one billion, six hundred eighty-five million, sixty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 233 360 466 699 932 1165 1398 1864 2097 2330 2796 3495 4194 4660 5592 6990 8388 9320 10485 13980 16776 20089 20970 27960 40178 41940 60267 80356 83880 100445 120534 160712 180801 200890 241068 301335 361602 401780 482136 602670 723204 803560 904005 1205340 1446408 1808010 2410680 3616020 4680737 7232040 9361474 14042211 18722948 23403685 28084422 37445896 42126633 46807370 56168844 70211055 84253266 93614740 112337688 140422110 168506532 187229480 210633165 280844220 337013064 421266330 561688440 842532660 1685065320