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818680680 = 233254614933
BaseRepresentation
bin110000110011000…
…001001101101000
32010001111021202200
4300303001031220
53134040240210
6213123100200
726200446066
oct6063011550
92101437680
10818680680
1139013aa04
121aa211660
131007c394c
147aa2d036
154bd170c0
hex30cc1368

818680680 has 96 divisors (see below), whose sum is σ = 2667024360. Its totient is φ = 217797120.

The previous prime is 818680673. The next prime is 818680691. The reversal of 818680680 is 86086818.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 517380516 + 301300164 = 22746^2 + 17358^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 163494 + ... + 168426.

Almost surely, 2818680680 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 818680680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333512180).

818680680 is an abundant number, since it is smaller than the sum of its proper divisors (1848343680).

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

818680680 is a wasteful number, since it uses less digits than its factorization.

818680680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5411 (or 5404 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 818680680 is about 28612.5965267048. The cubic root of 818680680 is about 935.4879129622.

The spelling of 818680680 in words is "eight hundred eighteen million, six hundred eighty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 461 922 1383 1844 2305 2766 3688 4149 4610 4933 5532 6915 8298 9220 9866 11064 13830 14799 16596 18440 19732 20745 24665 27660 29598 33192 39464 41490 44397 49330 55320 59196 73995 82980 88794 98660 118392 147990 165960 177588 197320 221985 295980 355176 443970 591960 887940 1775880 2274113 4548226 6822339 9096452 11370565 13644678 18192904 20467017 22741130 27289356 34111695 40934034 45482260 54578712 68223390 81868068 90964520 102335085 136446780 163736136 204670170 272893560 409340340 818680680