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6008140080 = 2432518794441
BaseRepresentation
bin1011001100001110…
…01111000100110000
3120111201101010202200
411212013033010300
544301040440310
62432103143200
7301613230245
oct54607170460
916451333680
106008140080
112603490628
1211b8144b00
13749988b97
1440dd2b5cc
152526e49c0
hex1661cf130

6008140080 has 120 divisors (see below), whose sum is σ = 20192621280. Its totient is φ = 1600957440.

The previous prime is 6008140079. The next prime is 6008140087. The reversal of 6008140080 is 800418006.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (6008140087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1350660 + ... + 1355100.

It is an arithmetic number, because the mean of its divisors is an integer number (168271844).

Almost surely, 26008140080 is an apocalyptic number.

6008140080 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 6008140080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10096310640).

6008140080 is an abundant number, since it is smaller than the sum of its proper divisors (14184481200).

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

6008140080 is a wasteful number, since it uses less digits than its factorization.

6008140080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6339 (or 6330 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 6008140080 is about 77512.1931053431. The cubic root of 6008140080 is about 1817.9419718832.

Adding to 6008140080 its reverse (800418006), we get a palindrome (6808558086).

The spelling of 6008140080 in words is "six billion, eight million, one hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1879 3758 4441 5637 7516 8882 9395 11274 13323 15032 16911 17764 18790 22205 22548 26646 28185 30064 33822 35528 37580 39969 44410 45096 53292 56370 66615 67644 71056 75160 79938 84555 88820 90192 106584 112740 133230 135288 150320 159876 169110 177640 199845 213168 225480 266460 270576 319752 338220 355280 399690 450960 532920 639504 676440 799380 1065840 1352880 1598760 3197520 8344639 16689278 25033917 33378556 41723195 50067834 66757112 75101751 83446390 100135668 125169585 133514224 150203502 166892780 200271336 250339170 300407004 333785560 375508755 400542672 500678340 600814008 667571120 751017510 1001356680 1201628016 1502035020 2002713360 3004070040 6008140080