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680832405 = 3351117149181
BaseRepresentation
bin101000100101001…
…010110110010101
31202110002212111000
4220211022312111
52343243114110
6151320333513
722604660061
oct5045126625
91673085430
10680832405
1131a348510
12170014299
13ab08ab16
14665c8aa1
153eb881c0
hex2894ad95

680832405 has 128 divisors (see below), whose sum is σ = 1415232000. Its totient is φ = 306892800.

The previous prime is 680832403. The next prime is 680832457. The reversal of 680832405 is 504238086.

It is not a de Polignac number, because 680832405 - 21 = 680832403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 680832405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680832401) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3761415 + ... + 3761595.

It is an arithmetic number, because the mean of its divisors is an integer number (11056500).

Almost surely, 2680832405 is an apocalyptic number.

It is an amenable number.

680832405 is an abundant number, since it is smaller than the sum of its proper divisors (734399595).

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

680832405 is a wasteful number, since it uses less digits than its factorization.

680832405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 680832405 is about 26092.7653766327. The cubic root of 680832405 is about 879.7246060599.

The spelling of 680832405 in words is "six hundred eighty million, eight hundred thirty-two thousand, four hundred five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 85 99 135 149 153 165 181 187 255 297 447 459 495 543 561 745 765 905 935 1341 1485 1629 1639 1683 1991 2235 2295 2533 2715 2805 3077 4023 4887 4917 5049 5973 6705 7599 8145 8195 8415 9231 9955 12665 14751 15385 17919 20115 22797 24435 24585 25245 26969 27693 27863 29865 33847 37995 44253 46155 53757 68391 73755 80907 83079 83589 89595 101541 113985 134845 138465 139315 169235 221265 242721 250767 268785 296659 304623 341955 404535 415395 417945 458473 507705 728163 752301 889977 913869 1213605 1253835 1375419 1483295 1523115 2292365 2669931 3640815 3761505 4126257 4449885 4569345 5043203 6877095 8009793 12378771 13349655 15129609 20631285 25216015 40048965 45388827 61893855 75648045 136166481 226944135 680832405