Search a number
-
+
21180732720 = 24357111711287
BaseRepresentation
bin10011101110011110…
…000101010100110000
32000200010021201001020
4103232132011110300
5321334231421340
613421424335440
71346610154230
oct235636052460
960603251036
1021180732720
118a89a75a94
124131474580
131cc71b4354
14104d03bcc0
1583e74c9d0
hex4ee785530

21180732720 has 160 divisors (see below), whose sum is σ = 75114144768. Its totient is φ = 4836547584.

The previous prime is 21180732719. The next prime is 21180732737. The reversal of 21180732720 is 2723708112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1870917 + ... + 1882203.

Almost surely, 221180732720 is an apocalyptic number.

21180732720 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 21180732720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37557072384).

21180732720 is an abundant number, since it is smaller than the sum of its proper divisors (53933412048).

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

21180732720 is a wasteful number, since it uses less digits than its factorization.

21180732720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12427 (or 12421 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 21180732720 in words is "twenty-one billion, one hundred eighty million, seven hundred thirty-two thousand, seven 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 84 105 112 120 140 168 210 240 280 336 420 560 840 1117 1680 2234 3351 4468 5585 6702 7819 8936 11170 11287 13404 15638 16755 17872 22340 22574 23457 26808 31276 33510 33861 39095 44680 45148 46914 53616 56435 62552 67020 67722 78190 79009 89360 90296 93828 112870 117285 125104 134040 135444 156380 158018 169305 180592 187656 225740 234570 237027 268080 270888 312760 316036 338610 375312 395045 451480 469140 474054 541776 625520 632072 677220 790090 902960 938280 948108 1185135 1264144 1354440 1580180 1876560 1896216 2370270 2708880 3160360 3792432 4740540 6320720 9481080 12607579 18962160 25215158 37822737 50430316 63037895 75645474 88253053 100860632 126075790 151290948 176506106 189113685 201721264 252151580 264759159 302581896 353012212 378227370 441265265 504303160 529518318 605163792 706024424 756454740 882530530 1008606320 1059036636 1323795795 1412048848 1512909480 1765061060 2118073272 2647591590 3025818960 3530122120 4236146544 5295183180 7060244240 10590366360 21180732720