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1216090876 = 2271113261383
BaseRepresentation
bin100100001111100…
…0001001011111100
310010202021211001211
41020133001023330
54442304402001
6320401014204
742064413310
oct11037011374
93122254054
101216090876
115744a7090
1229b324364
13164c39500
14b771bb40
1571b68351
hex487c12fc

1216090876 has 144 divisors (see below), whose sum is σ = 2927812608. Its totient is φ = 429062400.

The previous prime is 1216090861. The next prime is 1216090879. The reversal of 1216090876 is 6780906121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1216090879) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3174981 + ... + 3175363.

It is an arithmetic number, because the mean of its divisors is an integer number (20332032).

Almost surely, 21216090876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216090876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463906304).

1216090876 is an abundant number, since it is smaller than the sum of its proper divisors (1711721732).

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

1216090876 is a wasteful number, since it uses less digits than its factorization.

1216090876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 1216090876 is about 34872.4945479958. The cubic root of 1216090876 is about 1067.3872480444.

Adding to 1216090876 its reverse (6780906121), we get a palindrome (7996996997).

The spelling of 1216090876 in words is "one billion, two hundred sixteen million, ninety thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 61 77 91 122 143 154 169 182 244 286 308 338 364 383 427 572 671 676 766 793 854 1001 1183 1342 1532 1586 1708 1859 2002 2366 2681 2684 3172 3718 4004 4213 4697 4732 4979 5362 5551 7436 8426 8723 9394 9958 10309 10724 11102 13013 16852 17446 18788 19916 20618 22204 23363 26026 29491 34853 34892 41236 46726 52052 54769 58982 61061 64727 69706 72163 93452 109538 113399 117964 122122 129454 139412 144326 163541 219076 226798 244244 256993 258908 288652 303719 327082 383383 453089 453596 513986 607438 654164 711997 766766 793793 906178 1027972 1214876 1423994 1533532 1587586 1798951 1812356 2126033 2847988 3175172 3340909 3597902 3948347 4252066 4983979 6681818 7195804 7896694 8504132 9967958 13363636 15793388 19935916 23386363 27638429 43431817 46772726 55276858 86863634 93545452 110553716 173727268 304022719 608045438 1216090876