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687437060 = 225376197157
BaseRepresentation
bin101000111110010…
…111010100000100
31202220112102100212
4220332113110010
52401440441220
6152114054552
723015055452
oct5076272404
91686472325
10687437060
11323049702
1217227a458
13ac5610bb
14674279d2
15405400c5
hex28f97504

687437060 has 96 divisors (see below), whose sum is σ = 1532172768. Its totient is φ = 258785280.

The previous prime is 687437033. The next prime is 687437071. The reversal of 687437060 is 60734786.

It can be written as a sum of positive squares in 16 ways, for example, as 265298944 + 422138116 = 16288^2 + 20546^2 .

It is a super-2 number, since 2×6874370602 = 945139422922887200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 687436999 and 687437017.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4378502 + ... + 4378658.

It is an arithmetic number, because the mean of its divisors is an integer number (15960133).

Almost surely, 2687437060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687437060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766086384).

687437060 is an abundant number, since it is smaller than the sum of its proper divisors (844735708).

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

687437060 is a wasteful number, since it uses less digits than its factorization.

687437060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 687437060 is about 26219.0209580755. The cubic root of 687437060 is about 882.5601496612.

It can be divided in two parts, 6874 and 37060, that added together give a palindrome (43934).

The spelling of 687437060 in words is "six hundred eighty-seven million, four hundred thirty-seven thousand, sixty".

Divisors: 1 2 4 5 10 20 37 61 74 97 122 148 157 185 194 244 305 314 370 388 485 610 628 740 785 970 1220 1570 1940 2257 3140 3589 4514 5809 5917 7178 9028 9577 11285 11618 11834 14356 15229 17945 19154 22570 23236 23668 29045 29585 30458 35890 38308 45140 47885 58090 59170 60916 71780 76145 95770 116180 118340 152290 191540 218929 304580 354349 437858 563473 708698 875716 928969 1094645 1126946 1417396 1771745 1857938 2189290 2253892 2817365 3543490 3715876 4378580 4644845 5634730 7086980 9289690 11269460 18579380 34371853 68743706 137487412 171859265 343718530 687437060