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685420200 = 2332521931973
BaseRepresentation
bin101000110110101…
…010111010101000
31202202201221202100
4220312222322220
52400431421300
6152002533400
722661655423
oct5066527250
91682657670
10685420200
113219a1383
12171667260
13ac0060aa
14670609ba
1540292700
hex28daaea8

685420200 has 144 divisors (see below), whose sum is σ = 2314969020. Its totient is φ = 181739520.

The previous prime is 685420189. The next prime is 685420243. The reversal of 685420200 is 2024586.

685420200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 83503044 + 601917156 = 9138^2 + 24534^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 346414 + ... + 348386.

Almost surely, 2685420200 is an apocalyptic number.

685420200 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 685420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157484510).

685420200 is an abundant number, since it is smaller than the sum of its proper divisors (1629548820).

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

685420200 is a wasteful number, since it uses less digits than its factorization.

685420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 685420200 is about 26180.5309342649. The cubic root of 685420200 is about 881.6961947476.

Adding to 685420200 its reverse (2024586), we get a palindrome (687444786).

The spelling of 685420200 in words is "six hundred eighty-five million, four hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 193 200 225 300 360 386 450 579 600 772 900 965 1158 1544 1737 1800 1930 1973 2316 2895 3474 3860 3946 4632 4825 5790 5919 6948 7720 7892 8685 9650 9865 11580 11838 13896 14475 15784 17370 17757 19300 19730 23160 23676 28950 29595 34740 35514 38600 39460 43425 47352 49325 57900 59190 69480 71028 78920 86850 88785 98650 115800 118380 142056 147975 173700 177570 197300 236760 295950 347400 355140 380789 394600 443925 591900 710280 761578 887850 1142367 1183800 1523156 1775700 1903945 2284734 3046312 3427101 3551400 3807890 4569468 5711835 6854202 7615780 9138936 9519725 11423670 13708404 15231560 17135505 19039450 22847340 27416808 28559175 34271010 38078900 45694680 57118350 68542020 76157800 85677525 114236700 137084040 171355050 228473400 342710100 685420200