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2988055560 = 2335730711587
BaseRepresentation
bin1011001000011010…
…0001110000001000
321201020112221122110
42302012201300020
522104420234220
61212300222320
7134022024150
oct26206416010
97636487573
102988055560
1112a3752406
126b483a9a0
13388091919
14204bb7760
151274d4be0
hexb21a1c08

2988055560 has 128 divisors (see below), whose sum is σ = 10279019520. Its totient is φ = 680700672.

The previous prime is 2988055547. The next prime is 2988055579. The reversal of 2988055560 is 655508892.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252087 + ... + 263673.

It is an arithmetic number, because the mean of its divisors is an integer number (80304840).

Almost surely, 22988055560 is an apocalyptic number.

2988055560 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 2988055560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5139509760).

2988055560 is an abundant number, since it is smaller than the sum of its proper divisors (7290963960).

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

2988055560 is a wasteful number, since it uses less digits than its factorization.

2988055560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11915 (or 11911 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The square root of 2988055560 is about 54663.1096810271. The cubic root of 2988055560 is about 1440.3329284222.

The spelling of 2988055560 in words is "two billion, nine hundred eighty-eight million, fifty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 307 420 614 840 921 1228 1535 1842 2149 2456 3070 3684 4298 4605 6140 6447 7368 8596 9210 10745 11587 12280 12894 17192 18420 21490 23174 25788 32235 34761 36840 42980 46348 51576 57935 64470 69522 81109 85960 92696 115870 128940 139044 162218 173805 231740 243327 257880 278088 324436 347610 405545 463480 486654 648872 695220 811090 973308 1216635 1390440 1622180 1946616 2433270 3244360 3557209 4866540 7114418 9733080 10671627 14228836 17786045 21343254 24900463 28457672 35572090 42686508 49800926 53358135 71144180 74701389 85373016 99601852 106716270 124502315 142288360 149402778 199203704 213432540 249004630 298805556 373506945 426865080 498009260 597611112 747013890 996018520 1494027780 2988055560