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682225680 = 243531471951
BaseRepresentation
bin101000101010011…
…111000000010000
31202112201122200210
4220222133000100
52344122210210
6151410244120
722622552103
oct5052370020
91675648623
10682225680
1132010a284
12170586640
13ab458046
146686c73a
153ed60e20
hex28a9f010

682225680 has 160 divisors (see below), whose sum is σ = 2230714368. Its totient is φ = 172224000.

The previous prime is 682225679. The next prime is 682225693. The reversal of 682225680 is 86522286.

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 31 ways as a sum of consecutive naturals, for example, 348705 + ... + 350655.

Almost surely, 2682225680 is an apocalyptic number.

682225680 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 682225680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115357184).

682225680 is an abundant number, since it is smaller than the sum of its proper divisors (1548488688).

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

682225680 is a wasteful number, since it uses less digits than its factorization.

682225680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 682225680 is about 26119.4502239232. The cubic root of 682225680 is about 880.3242950776.

The spelling of 682225680 in words is "six hundred eighty-two million, two hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 47 48 60 62 80 93 94 120 124 141 155 186 188 235 240 248 282 310 372 376 465 470 496 564 620 705 744 752 930 940 1128 1240 1410 1457 1488 1860 1880 1951 2256 2480 2820 2914 3720 3760 3902 4371 5640 5828 5853 7285 7440 7804 8742 9755 11280 11656 11706 14570 15608 17484 19510 21855 23312 23412 29140 29265 31216 34968 39020 43710 46824 58280 58530 60481 69936 78040 87420 91697 93648 116560 117060 120962 156080 174840 181443 183394 234120 241924 275091 302405 349680 362886 366788 458485 468240 483848 550182 604810 725772 733576 907215 916970 967696 1100364 1209620 1375455 1451544 1467152 1814430 1833940 2200728 2419240 2750910 2842607 2903088 3628860 3667880 4401456 4838480 5501820 5685214 7257720 7335760 8527821 11003640 11370428 14213035 14515440 17055642 22007280 22740856 28426070 34111284 42639105 45481712 56852140 68222568 85278210 113704280 136445136 170556420 227408560 341112840 682225680