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680646960 = 243257135049
BaseRepresentation
bin101000100100011…
…101100100110000
31202102202110002200
4220210131210300
52343221200320
6151312343200
722603255320
oct5044354460
91672673080
10680646960
1131a231154
1216bb44b00
13ab0245a6
146657b280
153eb4d290
hex2891d930

680646960 has 120 divisors (see below), whose sum is σ = 2612407200. Its totient is φ = 155575296.

The previous prime is 680646959. The next prime is 680646971. The reversal of 680646960 is 69646086.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62485 + ... + 72564.

It is an arithmetic number, because the mean of its divisors is an integer number (21770060).

Almost surely, 2680646960 is an apocalyptic number.

680646960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

680646960 is an abundant number, since it is smaller than the sum of its proper divisors (1931760240).

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

680646960 is a wasteful number, since it uses less digits than its factorization.

680646960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135075 (or 135066 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 680646960 is about 26089.2115634030. The cubic root of 680646960 is about 879.6447257337.

The spelling of 680646960 in words is "six hundred eighty million, six hundred forty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 135049 270098 405147 540196 675245 810294 945343 1080392 1215441 1350490 1620588 1890686 2025735 2160784 2430882 2700980 2836029 3241176 3781372 4051470 4726715 4861764 5401960 5672058 6077205 6482352 7562744 8102940 8508087 9453430 9723528 10803920 11344116 12154410 14180145 15125488 16205880 17016174 18906860 19447056 22688232 24308820 28360290 32411760 34032348 37813720 42540435 45376464 48617640 56720580 68064696 75627440 85080870 97235280 113441160 136129392 170161740 226882320 340323480 680646960