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685985360 = 245173153307
BaseRepresentation
bin101000111000110…
…100111001010000
31202210210200000012
4220320310321100
52401103012420
6152023014052
722666531214
oct5070647120
91683720005
10685985360
11322247a55
1217189a328
13ac1733c8
146716a944
1540354dc5
hex28e34e50

685985360 has 160 divisors (see below), whose sum is σ = 1781885952. Its totient is φ = 244408320.

The previous prime is 685985359. The next prime is 685985383. The reversal of 685985360 is 63589586.

It is a junction number, because it is equal to n+sod(n) for n = 685985299 and 685985308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2234327 + ... + 2234633.

Almost surely, 2685985360 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 685985360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890942976).

685985360 is an abundant number, since it is smaller than the sum of its proper divisors (1095900592).

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

685985360 is a wasteful number, since it uses less digits than its factorization.

685985360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 50.

The square root of 685985360 is about 26191.3222270278. The cubic root of 685985360 is about 881.9384609892.

The spelling of 685985360 in words is "six hundred eighty-five million, nine hundred eighty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 53 62 68 80 85 106 124 136 155 170 212 248 265 272 307 310 340 424 496 527 530 614 620 680 848 901 1054 1060 1228 1240 1360 1535 1643 1802 2108 2120 2456 2480 2635 3070 3286 3604 4216 4240 4505 4912 5219 5270 6140 6572 7208 8215 8432 9010 9517 10438 10540 12280 13144 14416 16271 16430 18020 19034 20876 21080 24560 26095 26288 27931 32542 32860 36040 38068 41752 42160 47585 52190 55862 65084 65720 72080 76136 81355 83504 95170 104380 111724 130168 131440 139655 152272 161789 162710 190340 208760 223448 260336 276607 279310 323578 325420 380680 417520 446896 504401 553214 558620 647156 650840 761360 808945 1008802 1106428 1117240 1294312 1301680 1383035 1617890 2017604 2212856 2234480 2522005 2588624 2766070 3235780 4035208 4425712 5044010 5532140 6471560 8070416 8574817 10088020 11064280 12943120 17149634 20176040 22128560 34299268 40352080 42874085 68598536 85748170 137197072 171496340 342992680 685985360