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680323728 = 243719611747
BaseRepresentation
bin101000100011001…
…110101010010000
31202102011000201010
4220203032222100
52343130324403
6151301410520
722600441050
oct5043165220
91672130633
10680323728
1131a030317
1216ba09a40
13aac40426
14664d5560
153ead7603
hex288cea90

680323728 has 160 divisors (see below), whose sum is σ = 2150179840. Its totient is φ = 181025280.

The previous prime is 680323727. The next prime is 680323729. The reversal of 680323728 is 827323086.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (680323727) and next prime (680323729).

It is not an unprimeable number, because it can be changed into a prime (680323723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388551 + ... + 390297.

It is an arithmetic number, because the mean of its divisors is an integer number (13438624).

Almost surely, 2680323728 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 680323728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075089920).

680323728 is an abundant number, since it is smaller than the sum of its proper divisors (1469856112).

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

680323728 is a wasteful number, since it uses less digits than its factorization.

680323728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 680323728 is about 26083.0160832677. The cubic root of 680323728 is about 879.5054590453.

The spelling of 680323728 in words is "six hundred eighty million, three hundred twenty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 61 76 84 112 114 122 133 152 168 183 228 244 266 304 336 366 399 427 456 488 532 732 798 854 912 976 1064 1159 1281 1464 1596 1708 1747 2128 2318 2562 2928 3192 3416 3477 3494 4636 5124 5241 6384 6832 6954 6988 8113 9272 10248 10482 12229 13908 13976 16226 18544 20496 20964 24339 24458 27816 27952 32452 33193 36687 41928 48678 48916 55632 64904 66386 73374 83856 97356 97832 99579 106567 129808 132772 146748 194712 195664 199158 213134 232351 265544 293496 319701 389424 398316 426268 464702 531088 586992 639402 697053 745969 796632 852536 929404 1278804 1394106 1491938 1593264 1705072 1858808 2024773 2237907 2557608 2788212 2983876 3717616 4049546 4475814 5115216 5576424 5967752 6074319 8099092 8951628 11152848 11935504 12148638 14173411 16198184 17903256 24297276 28346822 32396368 35806512 42520233 48594552 56693644 85040466 97189104 113387288 170080932 226774576 340161864 680323728