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2871190980 = 2232574614943
BaseRepresentation
bin1010101100100010…
…1110010111000100
321102002122121120200
42223020232113010
521340011102410
61152523330500
7131102502120
oct25310562704
97362577520
102871190980
111243792309
12681680a30
13369ac4b98
141d3476580
1511c0ed3c0
hexab22e5c4

2871190980 has 144 divisors (see below), whose sum is σ = 9977071104. Its totient is φ = 654716160.

The previous prime is 2871190963. The next prime is 2871191041. The reversal of 2871190980 is 890911782.

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 47 ways as a sum of consecutive naturals, for example, 578389 + ... + 583331.

It is an arithmetic number, because the mean of its divisors is an integer number (69285216).

Almost surely, 22871190980 is an apocalyptic number.

2871190980 is a gapful number since it is divisible by the number (20) 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 2871190980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988535552).

2871190980 is an abundant number, since it is smaller than the sum of its proper divisors (7105880124).

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

2871190980 is a wasteful number, since it uses less digits than its factorization.

2871190980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5426 (or 5421 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 2871190980 is about 53583.4954067015. The cubic root of 2871190980 is about 1421.3052502986.

The spelling of 2871190980 in words is "two billion, eight hundred seventy-one million, one hundred ninety thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 461 630 922 1260 1383 1844 2305 2766 3227 4149 4610 4943 5532 6454 6915 8298 9220 9681 9886 12908 13830 14829 16135 16596 19362 19772 20745 24715 27660 29043 29658 32270 34601 38724 41490 44487 48405 49430 58086 59316 64540 69202 74145 82980 88974 96810 98860 103803 116172 138404 145215 148290 173005 177948 193620 207606 222435 290430 296580 311409 346010 415212 444870 519015 580860 622818 692020 889740 1038030 1245636 1557045 2076060 2278723 3114090 4557446 6228180 6836169 9114892 11393615 13672338 15951061 20508507 22787230 27344676 31902122 34180845 41017014 45574460 47853183 63804244 68361690 79755305 82034028 95706366 102542535 136723380 143559549 159510610 191412732 205085070 239265915 287119098 319021220 410170140 478531830 574238196 717797745 957063660 1435595490 2871190980