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680312073 = 37294383313
BaseRepresentation
bin101000100011001…
…011110100001001
31202102010102201110
4220203023310021
52343124441243
6151301240533
722600362060
oct5043136411
91672112643
10680312073
1131a022591
1216ba03149
13aac3802c
14664d11d7
153ead3e33
hex288cbd09

680312073 has 64 divisors (see below), whose sum is σ = 1114122240. Its totient is φ = 361041408.

The previous prime is 680312051. The next prime is 680312111. The reversal of 680312073 is 370213086.

It is not a de Polignac number, because 680312073 - 25 = 680312041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 680312073.

It is not an unprimeable number, because it can be changed into a prime (680310073) 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 63 ways as a sum of consecutive naturals, for example, 2173365 + ... + 2173677.

It is an arithmetic number, because the mean of its divisors is an integer number (17408160).

Almost surely, 2680312073 is an apocalyptic number.

It is an amenable number.

680312073 is a deficient number, since it is larger than the sum of its proper divisors (433810167).

680312073 is a wasteful number, since it uses less digits than its factorization.

680312073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 680312073 is about 26082.7926610630. The cubic root of 680312073 is about 879.5004365861.

The spelling of 680312073 in words is "six hundred eighty million, three hundred twelve thousand, seventy-three".

Divisors: 1 3 7 21 29 43 83 87 129 203 249 301 313 581 609 903 939 1247 1743 2191 2407 3569 3741 6573 7221 8729 9077 10707 13459 16849 24983 25979 26187 27231 40377 50547 63539 74949 77937 94213 103501 181853 190617 282639 310503 390311 545559 724507 753391 1117097 1170933 2173521 2260173 2732177 3351291 5273737 7819679 8196531 15821211 23459037 32395813 97187439 226770691 680312073