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285808680 = 233252513163
BaseRepresentation
bin10001000010010…
…001100000101000
3201220210120210200
4101002101200220
51041131334210
644205512200
710040222313
oct2102214050
9656716720
10285808680
11137371323
127b872660
134729c581
1429d5b97a
151a1590c0
hex11091828

285808680 has 96 divisors (see below), whose sum is σ = 932873760. Its totient is φ = 75888000.

The previous prime is 285808673. The next prime is 285808693. The reversal of 285808680 is 86808582.

285808680 is a `hidden beast` number, since 2 + 8 + 580 + 8 + 68 + 0 = 666.

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, 88779 + ... + 91941.

It is an arithmetic number, because the mean of its divisors is an integer number (9717435).

Almost surely, 2285808680 is an apocalyptic number.

285808680 is a gapful number since it is divisible by the number (20) 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 285808680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466436880).

285808680 is an abundant number, since it is smaller than the sum of its proper divisors (647065080).

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

285808680 is a wasteful number, since it uses less digits than its factorization.

285808680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 285808680 is about 16905.8770846117. The cubic root of 285808680 is about 658.7062811621.

The spelling of 285808680 in words is "two hundred eighty-five million, eight hundred eight 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 90 120 180 251 360 502 753 1004 1255 1506 2008 2259 2510 3012 3163 3765 4518 5020 6024 6326 7530 9036 9489 10040 11295 12652 15060 15815 18072 18978 22590 25304 28467 30120 31630 37956 45180 47445 56934 63260 75912 90360 94890 113868 126520 142335 189780 227736 284670 379560 569340 793913 1138680 1587826 2381739 3175652 3969565 4763478 6351304 7145217 7939130 9526956 11908695 14290434 15878260 19053912 23817390 28580868 31756520 35726085 47634780 57161736 71452170 95269560 142904340 285808680