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680221320 = 233523376661
BaseRepresentation
bin101000100010110…
…101101010001000
31202101221211020020
4220202311222020
52343114040240
6151255300440
722566533352
oct5042655210
91671854206
10680221320
11319a70389
1216b97a720
13aac0592c
14664aa0d2
153eab70d0
hex288b5a88

680221320 has 128 divisors (see below), whose sum is σ = 2187267840. Its totient is φ = 168791040.

The previous prime is 680221279. The next prime is 680221351. The reversal of 680221320 is 23122086.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98790 + ... + 105450.

It is an arithmetic number, because the mean of its divisors is an integer number (17088030).

Almost surely, 2680221320 is an apocalyptic number.

680221320 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 680221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093633920).

680221320 is an abundant number, since it is smaller than the sum of its proper divisors (1507046520).

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

680221320 is a wasteful number, since it uses less digits than its factorization.

680221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6735 (or 6731 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 680221320 is about 26081.0528928569. The cubic root of 680221320 is about 879.4613266659.

The spelling of 680221320 in words is "six hundred eighty million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 37 40 46 60 69 74 92 111 115 120 138 148 184 185 222 230 276 296 345 370 444 460 552 555 690 740 851 888 920 1110 1380 1480 1702 2220 2553 2760 3404 4255 4440 5106 6661 6808 8510 10212 12765 13322 17020 19983 20424 25530 26644 33305 34040 39966 51060 53288 66610 79932 99915 102120 133220 153203 159864 199830 246457 266440 306406 399660 459609 492914 612812 739371 766015 799320 919218 985828 1225624 1232285 1478742 1532030 1838436 1971656 2298045 2464570 2957484 3064060 3676872 3696855 4596090 4929140 5668511 5914968 6128120 7393710 9192180 9858280 11337022 14787420 17005533 18384360 22674044 28342555 29574840 34011066 45348088 56685110 68022132 85027665 113370220 136044264 170055330 226740440 340110660 680221320