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8540683320 = 23351324122717
BaseRepresentation
bin1111111010001000…
…00111110000111000
3211001012210122222110
413331010013300320
5114442403331240
63531252252320
7421434416241
oct77504076070
924035718873
108540683320
113692aa1874
1217a43110a0
13a61570a90
145b040dcc8
1534ebecc80
hex1fd107c38

8540683320 has 128 divisors (see below), whose sum is σ = 27708690240. Its totient is φ = 2093506560.

The previous prime is 8540683279. The next prime is 8540683343. The reversal of 8540683320 is 233860458.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364602 + ... + 387318.

Almost surely, 28540683320 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 8540683320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13854345120).

8540683320 is an abundant number, since it is smaller than the sum of its proper divisors (19168006920).

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

8540683320 is a wasteful number, since it uses less digits than its factorization.

8540683320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22985 (or 22981 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 8540683320 is about 92415.8174773128. The cubic root of 8540683320 is about 2044.0783559435.

The spelling of 8540683320 in words is "eight billion, five hundred forty million, six hundred eighty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 241 260 312 390 482 520 723 780 964 1205 1446 1560 1928 2410 2892 3133 3615 4820 5784 6266 7230 9399 9640 12532 14460 15665 18798 22717 25064 28920 31330 37596 45434 46995 62660 68151 75192 90868 93990 113585 125320 136302 181736 187980 227170 272604 295321 340755 375960 454340 545208 590642 681510 885963 908680 1181284 1363020 1476605 1771926 2362568 2726040 2953210 3543852 4429815 5474797 5906420 7087704 8859630 10949594 11812840 16424391 17719260 21899188 27373985 32848782 35438520 43798376 54747970 65697564 71172361 82121955 109495940 131395128 142344722 164243910 213517083 218991880 284689444 328487820 355861805 427034166 569378888 656975640 711723610 854068332 1067585415 1423447220 1708136664 2135170830 2846894440 4270341660 8540683320