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680745030 = 235723971453
BaseRepresentation
bin101000100100110…
…101100001000110
31202102221102121220
4220210311201012
52343232320110
6151314421210
722604144250
oct5044654106
91672842556
10680745030
1131a2988a9
1216bb91806
13ab05a114
14665a4cd0
153eb6c370
hex28935846

680745030 has 128 divisors (see below), whose sum is σ = 1969809408. Its totient is φ = 147197952.

The previous prime is 680745029. The next prime is 680745047. The reversal of 680745030 is 30547086.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 680744982 and 680745000.

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, 467784 + ... + 469236.

It is an arithmetic number, because the mean of its divisors is an integer number (15389136).

Almost surely, 2680745030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680745030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984904704).

680745030 is an abundant number, since it is smaller than the sum of its proper divisors (1289064378).

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

680745030 is a wasteful number, since it uses less digits than its factorization.

680745030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 680745030 is about 26091.0910082350. The cubic root of 680745030 is about 879.6869711367.

The spelling of 680745030 in words is "six hundred eighty million, seven hundred forty-five thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 97 105 115 138 161 194 210 230 291 322 345 483 485 582 679 690 805 966 970 1358 1453 1455 1610 2037 2231 2415 2906 2910 3395 4074 4359 4462 4830 6693 6790 7265 8718 10171 10185 11155 13386 14530 15617 20342 20370 21795 22310 30513 31234 33419 33465 43590 46851 50855 61026 66838 66930 78085 93702 100257 101710 140941 152565 156170 167095 200514 233933 234255 281882 305130 334190 422823 467866 468510 501285 701799 704705 845646 986587 1002570 1169665 1403598 1409410 1973174 2114115 2339330 2959761 3241643 3508995 4228230 4932935 5919522 6483286 7017990 9724929 9865870 14798805 16208215 19449858 22691501 29597610 32416430 45383002 48624645 68074503 97249290 113457505 136149006 226915010 340372515 680745030