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686000220 = 2235291093617
BaseRepresentation
bin101000111000111…
…000100001011100
31202210211102101120
4220320320201130
52401104001340
6152023210540
722666622433
oct5070704134
91683742346
10686000220
11322258134
121718a6a50
13ac17a0b9
146717211a
15403594d0
hex28e3885c

686000220 has 96 divisors (see below), whose sum is σ = 2005819200. Its totient is φ = 174956544.

The previous prime is 686000197. The next prime is 686000221. The reversal of 686000220 is 22000686.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686000221) by changing a digit.

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, 187852 + ... + 191468.

It is an arithmetic number, because the mean of its divisors is an integer number (20893950).

Almost surely, 2686000220 is an apocalyptic number.

686000220 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 686000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002909600).

686000220 is an abundant number, since it is smaller than the sum of its proper divisors (1319818980).

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

686000220 is a wasteful number, since it uses less digits than its factorization.

686000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3765 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 686000220 is about 26191.6059072368. The cubic root of 686000220 is about 881.9448292062.

The spelling of 686000220 in words is "six hundred eighty-six million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 109 116 145 174 218 290 327 348 435 436 545 580 654 870 1090 1308 1635 1740 2180 3161 3270 3617 6322 6540 7234 9483 10851 12644 14468 15805 18085 18966 21702 31610 36170 37932 43404 47415 54255 63220 72340 94830 104893 108510 189660 209786 217020 314679 394253 419572 524465 629358 788506 1048930 1182759 1258716 1573395 1577012 1971265 2097860 2365518 3146790 3942530 4731036 5913795 6293580 7885060 11433337 11827590 22866674 23655180 34300011 45733348 57166685 68600022 114333370 137200044 171500055 228666740 343000110 686000220