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685109340 = 22355294861
BaseRepresentation
bin101000110101011…
…111000001011100
31202202011011100000
4220311133001130
52400341444330
6151552134300
722656222216
oct5065370134
91682134300
10685109340
113217a9873
12171537390
13abc27756
1466dbd5b6
1540230560
hex28d5f05c

685109340 has 144 divisors (see below), whose sum is σ = 2229907680. Its totient is φ = 176359680.

The previous prime is 685109291. The next prime is 685109377. The reversal of 685109340 is 43901586.

685109340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 685109295 and 685109304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138510 + ... + 143370.

It is an arithmetic number, because the mean of its divisors is an integer number (15485470).

Almost surely, 2685109340 is an apocalyptic number.

685109340 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 685109340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114953840).

685109340 is an abundant number, since it is smaller than the sum of its proper divisors (1544798340).

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

685109340 is a wasteful number, since it uses less digits than its factorization.

685109340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4914 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 685109340 is about 26174.5934065842. The cubic root of 685109340 is about 881.5628821097.

The spelling of 685109340 in words is "six hundred eighty-five million, one hundred nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 243 261 270 290 324 348 405 435 486 522 540 580 783 810 870 972 1044 1215 1305 1566 1620 1740 2349 2430 2610 3132 3915 4698 4860 4861 5220 7047 7830 9396 9722 11745 14094 14583 15660 19444 23490 24305 28188 29166 35235 43749 46980 48610 58332 70470 72915 87498 97220 131247 140940 140969 145830 174996 218745 262494 281938 291660 393741 422907 437490 524988 563876 656235 704845 787482 845814 874980 1181223 1268721 1312470 1409690 1574964 1691628 1968705 2114535 2362446 2537442 2624940 2819380 3806163 3937410 4229070 4724892 5074884 5906115 6343605 7612326 7874820 8458140 11418489 11812230 12687210 15224652 19030815 22836978 23624460 25374420 34255467 38061630 45673956 57092445 68510934 76123260 114184890 137021868 171277335 228369780 342554670 685109340