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5872891920 = 243576915059
BaseRepresentation
bin1010111100000110…
…10011100000010000
3120011021212211011120
411132003103200100
544011430020140
62410432242240
7265351520610
oct53603234020
916137784146
105872891920
112544104695
12117a9a0380
1372795369c
143d9da2a40
152458cb1d0
hex15e0d3810

5872891920 has 160 divisors (see below), whose sum is σ = 20841047040. Its totient is φ = 1340167680.

The previous prime is 5872891891. The next prime is 5872891931. The reversal of 5872891920 is 291982785.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1158351 + ... + 1163409.

It is an arithmetic number, because the mean of its divisors is an integer number (130256544).

Almost surely, 25872891920 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 5872891920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10420523520).

5872891920 is an abundant number, since it is smaller than the sum of its proper divisors (14968155120).

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

5872891920 is a wasteful number, since it uses less digits than its factorization.

5872891920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5767 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The square root of 5872891920 is about 76634.7957523213. The cubic root of 5872891920 is about 1804.1971931417.

The spelling of 5872891920 in words is "five billion, eight hundred seventy-two million, eight hundred ninety-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 691 840 1382 1680 2073 2764 3455 4146 4837 5059 5528 6910 8292 9674 10118 10365 11056 13820 14511 15177 16584 19348 20236 20730 24185 25295 27640 29022 30354 33168 35413 38696 40472 41460 48370 50590 55280 58044 60708 70826 72555 75885 77392 80944 82920 96740 101180 106239 116088 121416 141652 145110 151770 165840 177065 193480 202360 212478 232176 242832 283304 290220 303540 354130 386960 404720 424956 531195 566608 580440 607080 708260 849912 1062390 1160880 1214160 1416520 1699824 2124780 2833040 3495769 4249560 6991538 8499120 10487307 13983076 17478845 20974614 24470383 27966152 34957690 41949228 48940766 52436535 55932304 69915380 73411149 83898456 97881532 104873070 122351915 139830760 146822298 167796912 195763064 209746140 244703830 279661520 293644596 367055745 391526128 419492280 489407660 587289192 734111490 838984560 978815320 1174578384 1468222980 1957630640 2936445960 5872891920