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685528320 = 28351671069
BaseRepresentation
bin101000110111000…
…101010100000000
31202202221110001210
4220313011110000
52400443401240
6152005130120
722662615561
oct5067052400
91682843053
10685528320
11321a65634
121716b9940
13ac043379
146708c168
15402b4780
hex28dc5500

685528320 has 144 divisors (see below), whose sum is σ = 2204576640. Its totient is φ = 181542912.

The previous prime is 685528301. The next prime is 685528331. The reversal of 685528320 is 23825586.

It is a super-5 number, since 5×6855283205 (a number of 45 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640746 + ... + 641814.

It is an arithmetic number, because the mean of its divisors is an integer number (15309560).

Almost surely, 2685528320 is an apocalyptic number.

685528320 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 685528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102288320).

685528320 is an abundant number, since it is smaller than the sum of its proper divisors (1519048320).

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

685528320 is a wasteful number, since it uses less digits than its factorization.

685528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 685528320 is about 26182.5957460295. The cubic root of 685528320 is about 881.7425526755.

The spelling of 685528320 in words is "six hundred eighty-five million, five hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 167 192 240 256 320 334 384 480 501 640 668 768 835 960 1002 1069 1280 1336 1670 1920 2004 2138 2505 2672 3207 3340 3840 4008 4276 5010 5344 5345 6414 6680 8016 8552 10020 10688 10690 12828 13360 16032 16035 17104 20040 21376 21380 25656 26720 32064 32070 34208 40080 42752 42760 51312 53440 64128 64140 68416 80160 85520 102624 106880 128256 128280 136832 160320 171040 178523 205248 213760 256560 273664 320640 342080 357046 410496 513120 535569 641280 684160 714092 820992 892615 1026240 1071138 1368320 1428184 1785230 2052480 2142276 2677845 2856368 3570460 4104960 4284552 5355690 5712736 7140920 8569104 10711380 11425472 14281840 17138208 21422760 22850944 28563680 34276416 42845520 45701888 57127360 68552832 85691040 114254720 137105664 171382080 228509440 342764160 685528320