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680218620 = 2235171935099
BaseRepresentation
bin101000100010110…
…100111111111100
31202101221200112020
4220202310333330
52343113443440
6151255240140
722566522444
oct5042647774
91671850466
10680218620
11319a69354
1216b979050
13aac04633
14664a9124
153eab63d0
hex288b4ffc

680218620 has 96 divisors (see below), whose sum is σ = 2122848000. Its totient is φ = 161731584.

The previous prime is 680218613. The next prime is 680218621. The reversal of 680218620 is 26812086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680218621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1831 + ... + 36929.

It is an arithmetic number, because the mean of its divisors is an integer number (22113000).

Almost surely, 2680218620 is an apocalyptic number.

680218620 is a gapful number since it is divisible by the number (60) 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 680218620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061424000).

680218620 is an abundant number, since it is smaller than the sum of its proper divisors (1442629380).

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

680218620 is a wasteful number, since it uses less digits than its factorization.

680218620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35147 (or 35145 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 680218620 is about 26081.0011310916. The cubic root of 680218620 is about 879.4601630502.

The spelling of 680218620 in words is "six hundred eighty million, two hundred eighteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 380 510 570 646 969 1020 1140 1292 1615 1938 3230 3876 4845 6460 9690 19380 35099 70198 105297 140396 175495 210594 350990 421188 526485 596683 666881 701980 1052970 1193366 1333762 1790049 2000643 2105940 2386732 2667524 2983415 3334405 3580098 4001286 5966830 6668810 7160196 8002572 8950245 10003215 11336977 11933660 13337620 17900490 20006430 22673954 34010931 35800980 40012860 45347908 56684885 68021862 113369770 136043724 170054655 226739540 340109310 680218620