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687074520 = 2335112272293
BaseRepresentation
bin101000111100111…
…110110011011000
31202212212000001110
4220330332303120
52401342341040
6152102220320
723012015466
oct5074766330
91685760043
10687074520
11322921290
121721246a0
13ac465092
1467371836
15404bc980
hex28f3ecd8

687074520 has 128 divisors (see below), whose sum is σ = 2259498240. Its totient is φ = 165757440.

The previous prime is 687074501. The next prime is 687074527. The reversal of 687074520 is 25470786.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687074527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298494 + ... + 300786.

It is an arithmetic number, because the mean of its divisors is an integer number (17652330).

Almost surely, 2687074520 is an apocalyptic number.

687074520 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 687074520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129749120).

687074520 is an abundant number, since it is smaller than the sum of its proper divisors (1572423720).

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

687074520 is a wasteful number, since it uses less digits than its factorization.

687074520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 687074520 is about 26212.1063632818. The cubic root of 687074520 is about 882.4049744269.

The spelling of 687074520 in words is "six hundred eighty-seven million, seventy-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 227 264 330 440 454 660 681 908 1135 1320 1362 1816 2270 2293 2497 2724 3405 4540 4586 4994 5448 6810 6879 7491 9080 9172 9988 11465 12485 13620 13758 14982 18344 19976 22930 24970 25223 27240 27516 29964 34395 37455 45860 49940 50446 55032 59928 68790 74910 75669 91720 99880 100892 126115 137580 149820 151338 201784 252230 275160 299640 302676 378345 504460 520511 605352 756690 1008920 1041022 1513380 1561533 2082044 2602555 3026760 3123066 4164088 5205110 5725621 6246132 7807665 10410220 11451242 12492264 15615330 17176863 20820440 22902484 28628105 31230660 34353726 45804968 57256210 62461320 68707452 85884315 114512420 137414904 171768630 229024840 343537260 687074520