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1108805985 = 325731271419
BaseRepresentation
bin100001000010111…
…0000100101100001
32212021102011212100
41002011300211201
54232323242420
6302005321013
736322460340
oct10205604541
92767364770
101108805985
1151998a391
1226b406169
13148944c21
14a7391b57
1567525190
hex42170961

1108805985 has 96 divisors (see below), whose sum is σ = 2281144320. Its totient is φ = 487555200.

The previous prime is 1108805963. The next prime is 1108805987. The reversal of 1108805985 is 5895088011.

It is not a de Polignac number, because 1108805985 - 26 = 1108805921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1108805985.

It is not an unprimeable number, because it can be changed into a prime (1108805987) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2646106 + ... + 2646524.

It is an arithmetic number, because the mean of its divisors is an integer number (23761920).

Almost surely, 21108805985 is an apocalyptic number.

1108805985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1108805985 is an abundant number, since it is smaller than the sum of its proper divisors (1172338335).

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

1108805985 is a wasteful number, since it uses less digits than its factorization.

1108805985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 45.

The square root of 1108805985 is about 33298.7384896185. The cubic root of 1108805985 is about 1035.0274164830.

The spelling of 1108805985 in words is "one billion, one hundred eight million, eight hundred five thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 155 217 271 279 315 419 465 651 813 1085 1257 1355 1395 1897 1953 2095 2439 2933 3255 3771 4065 5691 6285 8401 8799 9485 9765 12195 12989 14665 17073 18855 25203 26397 28455 38967 42005 43995 58807 64945 75609 85365 90923 113549 116901 126015 131985 176421 194835 272769 294035 340647 378045 454615 529263 567745 584505 794843 818307 882105 1021941 1363845 1703235 2384529 2646315 3520019 3974215 4091535 5109705 7153587 10560057 11922645 17600095 24640133 31680171 35767935 52800285 73920399 123200665 158400855 221761197 369601995 1108805985