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6680287080 = 233452338849
BaseRepresentation
bin1100011100010110…
…10001011101101000
3122020120010202010000
412032023101131220
5102140123141310
63022513423000
7324354334425
oct61613213550
918216122100
106680287080
112918936615
12136526aa60
13825cc55bc
144752d4d4c
152917144c0
hex18e2d1768

6680287080 has 160 divisors (see below), whose sum is σ = 22552101000. Its totient is φ = 1773563904.

The previous prime is 6680287079. The next prime is 6680287087. The reversal of 6680287080 is 807820866.

It can be written as a sum of positive squares in 4 ways, for example, as 1994336964 + 4685950116 = 44658^2 + 68454^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6680287087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 750496 + ... + 759344.

Almost surely, 26680287080 is an apocalyptic number.

6680287080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6680287080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11276050500).

6680287080 is an abundant number, since it is smaller than the sum of its proper divisors (15871813920).

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

6680287080 is a wasteful number, since it uses less digits than its factorization.

6680287080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9105 (or 9092 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 6680287080 is about 81733.0231913637. The cubic root of 6680287080 is about 1883.3529158344.

The spelling of 6680287080 in words is "six billion, six hundred eighty million, two hundred eighty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 233 270 324 360 405 466 540 648 699 810 932 1080 1165 1398 1620 1864 2097 2330 2796 3240 3495 4194 4660 5592 6291 6990 8388 8849 9320 10485 12582 13980 16776 17698 18873 20970 25164 26547 27960 31455 35396 37746 41940 44245 50328 53094 62910 70792 75492 79641 83880 88490 94365 106188 125820 132735 150984 159282 176980 188730 212376 238923 251640 265470 318564 353960 377460 398205 477846 530940 637128 716769 754920 796410 955692 1061880 1194615 1433538 1592820 1911384 2061817 2389230 2867076 3185640 3583845 4123634 4778460 5734152 6185451 7167690 8247268 9556920 10309085 12370902 14335380 16494536 18556353 20618170 24741804 28670760 30927255 37112706 41236340 49483608 55669059 61854510 74225412 82472680 92781765 111338118 123709020 148450824 167007177 185563530 222676236 247418040 278345295 334014354 371127060 445352472 556690590 668028708 742254120 835035885 1113381180 1336057416 1670071770 2226762360 3340143540 6680287080