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684088680 = 233511518249
BaseRepresentation
bin101000110001100…
…101110101101000
31202200020022020210
4220301211311220
52400111314210
6151514221120
722644441432
oct5061456550
91680208223
10684088680
11321171a50
121711247a0
13ab95b002
1466bd5652
15400cce20
hex28c65d68

684088680 has 64 divisors (see below), whose sum is σ = 2238840000. Its totient is φ = 165839360.

The previous prime is 684088667. The next prime is 684088697. The reversal of 684088680 is 86880486.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257805 + ... + 260444.

It is an arithmetic number, because the mean of its divisors is an integer number (34981875).

Almost surely, 2684088680 is an apocalyptic number.

684088680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

684088680 is an abundant number, since it is smaller than the sum of its proper divisors (1554751320).

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

684088680 is a wasteful number, since it uses less digits than its factorization.

684088680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518274 (or 518270 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 684088680 is about 26155.0889885697. The cubic root of 684088680 is about 881.1248872230.

The spelling of 684088680 in words is "six hundred eighty-four million, eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 518249 1036498 1554747 2072996 2591245 3109494 4145992 5182490 5700739 6218988 7773735 10364980 11401478 12437976 15547470 17102217 20729960 22802956 28503695 31094940 34204434 45605912 57007390 62189880 68408868 85511085 114014780 136817736 171022170 228029560 342044340 684088680