Search a number
-
+
677021670 = 2325134313457
BaseRepresentation
bin101000010110101…
…000011111100110
31202011221021010200
4220112220133212
52341304143140
6151102531330
722530406053
oct5026503746
91664837120
10677021670
11318185446
1216a896b46
13aa355450
1465cb602a
153e684030
hex285a87e6

677021670 has 96 divisors (see below), whose sum is σ = 1939889952. Its totient is φ = 162763776.

The previous prime is 677021669. The next prime is 677021677. The reversal of 677021670 is 76120776.

677021670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677021677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43582 + ... + 57038.

It is an arithmetic number, because the mean of its divisors is an integer number (20207187).

Almost surely, 2677021670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677021670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969944976).

677021670 is an abundant number, since it is smaller than the sum of its proper divisors (1262868282).

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

677021670 is a wasteful number, since it uses less digits than its factorization.

677021670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13526 (or 13523 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 677021670 is about 26019.6400820611. The cubic root of 677021670 is about 878.0802113992.

The spelling of 677021670 in words is "six hundred seventy-seven million, twenty-one thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 43 45 65 78 86 90 117 129 130 195 215 234 258 387 390 430 559 585 645 774 1118 1170 1290 1677 1935 2795 3354 3870 5031 5590 8385 10062 13457 16770 25155 26914 40371 50310 67285 80742 121113 134570 174941 201855 242226 349882 403710 524823 578651 605565 874705 1049646 1157302 1211130 1574469 1735953 1749410 2624115 2893255 3148938 3471906 5207859 5248230 5786510 7522463 7872345 8679765 10415718 15044926 15744690 17359530 22567389 26039295 37612315 45134778 52078590 67702167 75224630 112836945 135404334 225673890 338510835 677021670