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111974985 = 3252488333
BaseRepresentation
bin1101010110010…
…01101001001001
321210200220210200
412223021221021
5212131144420
615040002413
72526525453
oct653115111
9253626720
10111974985
1158230511
1231600409
131a2772b5
1410c2b2d3
159c6cb90
hex6ac9a49

111974985 has 12 divisors (see below), whose sum is σ = 194090052. Its totient is φ = 59719968.

The previous prime is 111974981. The next prime is 111975013. The reversal of 111974985 is 589479111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38975049 + 72999936 = 6243^2 + 8544^2 .

It is not a de Polignac number, because 111974985 - 22 = 111974981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2488333 = 111974985 / (1 + 1 + 1 + 9 + 7 + 4 + 9 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 111974985.

It is not an unprimeable number, because it can be changed into a prime (111974981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1244122 + ... + 1244211.

It is an arithmetic number, because the mean of its divisors is an integer number (16174171).

Almost surely, 2111974985 is an apocalyptic number.

111974985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

111974985 is a deficient number, since it is larger than the sum of its proper divisors (82115067).

111974985 is a wasteful number, since it uses less digits than its factorization.

111974985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488344 (or 2488341 counting only the distinct ones).

The product of its digits is 90720, while the sum is 45.

The square root of 111974985 is about 10581.8233305986. The cubic root of 111974985 is about 481.9925634316.

The spelling of 111974985 in words is "one hundred eleven million, nine hundred seventy-four thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 2488333 7464999 12441665 22394997 37324995 111974985