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680730120 = 233257270131
BaseRepresentation
bin101000100100110…
…001111000001000
31202102220200011200
4220210301320020
52343231330440
6151314224200
722604052630
oct5044617010
91672820150
10680730120
1131a288684
1216bb85060
13ab0533b5
146659d6c0
153eb67c30
hex28931e08

680730120 has 96 divisors (see below), whose sum is σ = 2528435520. Its totient is φ = 155594880.

The previous prime is 680730109. The next prime is 680730131. The reversal of 680730120 is 21037086.

It is an interprime number because it is at equal distance from previous prime (680730109) and next prime (680730131).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 132546 + ... + 137585.

It is an arithmetic number, because the mean of its divisors is an integer number (26337870).

Almost surely, 2680730120 is an apocalyptic number.

680730120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

680730120 is an abundant number, since it is smaller than the sum of its proper divisors (1847705400).

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

680730120 is a wasteful number, since it uses less digits than its factorization.

680730120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270155 (or 270148 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 680730120 is about 26090.8052769553. The cubic root of 680730120 is about 879.6805486496.

The spelling of 680730120 in words is "six hundred eighty million, seven hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 270131 540262 810393 1080524 1350655 1620786 1890917 2161048 2431179 2701310 3241572 3781834 4051965 4862358 5402620 5672751 6483144 7563668 8103930 9454585 9724716 10805240 11345502 12155895 15127336 16207860 17018253 18909170 19449432 22691004 24311790 28363755 32415720 34036506 37818340 45382008 48623580 56727510 68073012 75636680 85091265 97247160 113455020 136146024 170182530 226910040 340365060 680730120