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686744080 = 245111674673
BaseRepresentation
bin101000111011101…
…110001000010000
31202212020012202221
4220323232020100
52401301302310
6152051150424
723006141221
oct5073561020
91685205687
10686744080
11322715aa0
12171ba5414
13ac37a859
14672c7248
1540454ada
hex28eee210

686744080 has 80 divisors (see below), whose sum is σ = 1752637824. Its totient is φ = 248176640.

The previous prime is 686744057. The next prime is 686744089. The reversal of 686744080 is 80447686.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (686744089) 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 15 ways as a sum of consecutive naturals, for example, 144624 + ... + 149296.

Almost surely, 2686744080 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 686744080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876318912).

686744080 is an abundant number, since it is smaller than the sum of its proper divisors (1065893744).

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

686744080 is a wasteful number, since it uses less digits than its factorization.

686744080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864 (or 4858 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 686744080 is about 26205.8024109166. The cubic root of 686744080 is about 882.2634911535.

The spelling of 686744080 in words is "six hundred eighty-six million, seven hundred forty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 167 176 220 334 440 668 835 880 1336 1670 1837 2672 3340 3674 4673 6680 7348 9185 9346 13360 14696 18370 18692 23365 29392 36740 37384 46730 51403 73480 74768 93460 102806 146960 186920 205612 257015 373840 411224 514030 780391 822448 1028060 1560782 2056120 3121564 3901955 4112240 6243128 7803910 8584301 12486256 15607820 17168602 31215640 34337204 42921505 62431280 68674408 85843010 137348816 171686020 343372040 686744080