Search a number
-
+
680669325 = 34527311549
BaseRepresentation
bin101000100100100…
…011000010001101
31202102210120210000
4220210203002031
52343222404300
6151313034513
722603410450
oct5044430215
91672716700
10680669325
1131a246a36
1216bb55a39
13ab03181b
1466585497
153eb54c00
hex2892308d

680669325 has 120 divisors (see below), whose sum is σ = 1488396800. Its totient is φ = 300931200.

The previous prime is 680669323. The next prime is 680669347. The reversal of 680669325 is 523966086.

It is a happy number.

It is not a de Polignac number, because 680669325 - 21 = 680669323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680669321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 438651 + ... + 440199.

Almost surely, 2680669325 is an apocalyptic number.

It is an amenable number.

680669325 is an abundant number, since it is smaller than the sum of its proper divisors (807727475).

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

680669325 is a wasteful number, since it uses less digits than its factorization.

680669325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 680669325 is about 26089.6401853303. The cubic root of 680669325 is about 879.6543602138.

The spelling of 680669325 in words is "six hundred eighty million, six hundred sixty-nine thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 31 35 45 63 75 81 93 105 135 155 175 189 217 225 279 315 405 465 525 567 651 675 775 837 945 1085 1395 1549 1575 1953 2025 2325 2511 2835 3255 4185 4647 4725 5425 5859 6975 7745 9765 10843 12555 13941 14175 16275 17577 20925 23235 29295 32529 38725 41823 48019 48825 54215 62775 69705 87885 97587 116175 125469 144057 146475 162645 209115 240095 271075 292761 336133 348525 432171 439425 487935 627345 720285 813225 878283 1008399 1045575 1200475 1296513 1463805 1680665 2160855 2439675 3025197 3136725 3601425 3889539 4391415 5041995 6482565 7319025 8403325 9075591 10804275 15125985 19447695 21957075 25209975 27226773 32412825 45377955 75629925 97238475 136133865 226889775 680669325