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2118246540 = 2235196727733
BaseRepresentation
bin111111001000001…
…1110000010001100
312110121212001222120
41332100132002030
513314232342130
6550105212540
7103330540614
oct17620360214
95417761876
102118246540
11997770a83
124b1491150
13279b09127
14161479a44
15c5e6d910
hex7e41e08c

2118246540 has 96 divisors (see below), whose sum is σ = 6336664320. Its totient is φ = 527129856.

The previous prime is 2118246527. The next prime is 2118246541. The reversal of 2118246540 is 456428112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2118246541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62514 + ... + 90246.

It is an arithmetic number, because the mean of its divisors is an integer number (66006920).

Almost surely, 22118246540 is an apocalyptic number.

2118246540 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 2118246540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168332160).

2118246540 is an abundant number, since it is smaller than the sum of its proper divisors (4218417780).

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

2118246540 is a wasteful number, since it uses less digits than its factorization.

2118246540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27831 (or 27829 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2118246540 is about 46024.4124351414. The cubic root of 2118246540 is about 1284.2773854573.

The spelling of 2118246540 in words is "two billion, one hundred eighteen million, two hundred forty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 67 76 95 114 134 190 201 228 268 285 335 380 402 570 670 804 1005 1140 1273 1340 2010 2546 3819 4020 5092 6365 7638 12730 15276 19095 25460 27733 38190 55466 76380 83199 110932 138665 166398 277330 332796 415995 526927 554660 831990 1053854 1580781 1663980 1858111 2107708 2634635 3161562 3716222 5269270 5574333 6323124 7432444 7903905 9290555 10538540 11148666 15807810 18581110 22297332 27871665 31615620 35304109 37162220 55743330 70608218 105912327 111486660 141216436 176520545 211824654 353041090 423649308 529561635 706082180 1059123270 2118246540