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2116913920 = 28511251599
BaseRepresentation
bin111111000101101…
…1000101100000000
312110112100100222021
41332023120230000
513313412221140
6550020451224
7103313320462
oct17613305400
95415310867
102116913920
11996a40840
124b0b49b14
132797606b4
14161210132
15c5ca8b4a
hex7e2d8b00

2116913920 has 144 divisors (see below), whose sum is σ = 5562950400. Its totient is φ = 765440000.

The previous prime is 2116913881. The next prime is 2116913947. The reversal of 2116913920 is 293196112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3533781 + ... + 3534379.

It is an arithmetic number, because the mean of its divisors is an integer number (38631600).

Almost surely, 22116913920 is an apocalyptic number.

2116913920 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 2116913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781475200).

2116913920 is an abundant number, since it is smaller than the sum of its proper divisors (3446036480).

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

2116913920 is a wasteful number, since it uses less digits than its factorization.

2116913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 2116913920 is about 46009.9328406378. The cubic root of 2116913920 is about 1284.0080097067.

The spelling of 2116913920 in words is "two billion, one hundred sixteen million, nine hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 251 256 320 352 440 502 599 640 704 880 1004 1198 1255 1280 1408 1760 2008 2396 2510 2761 2816 2995 3520 4016 4792 5020 5522 5990 6589 7040 8032 9584 10040 11044 11980 13178 13805 14080 16064 19168 20080 22088 23960 26356 27610 32128 32945 38336 40160 44176 47920 52712 55220 64256 65890 76672 80320 88352 95840 105424 110440 131780 150349 153344 160640 176704 191680 210848 220880 263560 300698 321280 353408 383360 421696 441760 527120 601396 706816 751745 766720 843392 883520 1054240 1202792 1503490 1653839 1686784 1767040 2108480 2405584 3006980 3307678 3534080 4216960 4811168 6013960 6615356 8269195 8433920 9622336 12027920 13230712 16538390 19244672 24055840 26461424 33076780 38489344 48111680 52922848 66153560 96223360 105845696 132307120 192446720 211691392 264614240 423382784 529228480 1058456960 2116913920