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833680980 = 22325112914519
BaseRepresentation
bin110001101100001…
…111011001010100
32011002201101022100
4301230033121110
53201410242410
6214420402100
726442112536
oct6154173124
92132641270
10833680980
11398655950
121b3246330
13103946472
147ca15856
154d2cb8c0
hex31b0f654

833680980 has 144 divisors (see below), whose sum is σ = 2854051200. Its totient is φ = 195121920.

The previous prime is 833680979. The next prime is 833680997. The reversal of 833680980 is 89086338.

833680980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50161 + ... + 64679.

It is an arithmetic number, because the mean of its divisors is an integer number (19819800).

Almost surely, 2833680980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 833680980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427025600).

833680980 is an abundant number, since it is smaller than the sum of its proper divisors (2020370220).

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

833680980 is a wasteful number, since it uses less digits than its factorization.

833680980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14574 (or 14569 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 833680980 is about 28873.5342485121. The cubic root of 833680980 is about 941.1668699036.

The spelling of 833680980 in words is "eight hundred thirty-three million, six hundred eighty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 396 435 495 522 580 638 660 870 957 990 1044 1276 1305 1595 1740 1914 1980 2610 2871 3190 3828 4785 5220 5742 6380 9570 11484 14355 14519 19140 28710 29038 43557 57420 58076 72595 87114 130671 145190 159709 174228 217785 261342 290380 319418 421051 435570 479127 522684 638836 653355 798545 842102 871140 958254 1263153 1306710 1437381 1597090 1684204 1916508 2105255 2395635 2526306 2613420 2874762 3194180 3789459 4210510 4631561 4791270 5052612 5749524 6315765 7186905 7578918 8421020 9263122 9582540 12631530 13894683 14373810 15157836 18526244 18947295 23157805 25263060 27789366 28747620 37894590 41684049 46315610 55578732 69473415 75789180 83368098 92631220 138946830 166736196 208420245 277893660 416840490 833680980