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680629014 = 233132967499
BaseRepresentation
bin101000100100011…
…001001100010110
31202102201112111000
4220210121030112
52343220112024
6151312124130
722603152102
oct5044311426
91672645430
10680629014
1131a21971a
1216bb36646
13ab019380
1466574902
153eb47cc9
hex28919316

680629014 has 128 divisors (see below), whose sum is σ = 1713600000. Its totient is φ = 198785664.

The previous prime is 680628997. The next prime is 680629057. The reversal of 680629014 is 410926086.

It is a super-2 number, since 2×6806290142 = 926511709397224392, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 680629014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1363737 + ... + 1364235.

It is an arithmetic number, because the mean of its divisors is an integer number (13387500).

Almost surely, 2680629014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680629014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856800000).

680629014 is an abundant number, since it is smaller than the sum of its proper divisors (1032970986).

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

680629014 is a wasteful number, since it uses less digits than its factorization.

680629014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 680629014 is about 26088.8676258668. The cubic root of 680629014 is about 879.6369947347.

The spelling of 680629014 in words is "six hundred eighty million, six hundred twenty-nine thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 67 78 87 117 134 174 201 234 261 351 377 402 499 522 603 702 754 783 871 998 1131 1206 1497 1566 1742 1809 1943 2262 2613 2994 3393 3618 3886 4491 5226 5829 6487 6786 7839 8982 10179 11658 12974 13473 14471 15678 17487 19461 20358 23517 25259 26946 28942 33433 34974 38922 43413 47034 50518 52461 58383 66866 75777 86826 100299 104922 116766 130239 151554 175149 188123 200598 227331 260478 300897 350298 376246 390717 434629 454662 564369 601794 681993 781434 869258 902691 969557 1128738 1303887 1363986 1693107 1805382 1939114 2607774 2908671 3386214 3911661 5079321 5817342 7823322 8726013 10158642 11734983 12604241 17452026 23469966 25208482 26178039 37812723 52356078 75625446 113438169 226876338 340314507 680629014