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1120385565 = 325132966041
BaseRepresentation
bin100001011000111…
…1011101000011101
32220002012111001200
41002301323220131
54243304314230
6303101430113
736523056135
oct10261735035
92802174050
101120385565
11525479292
1227326b339
1314b16a750
14a8b27ac5
1568561160
hex42c7ba1d

1120385565 has 48 divisors (see below), whose sum is σ = 2163535920. Its totient is φ = 532546560.

The previous prime is 1120385549. The next prime is 1120385569. The reversal of 1120385565 is 5655830211.

It is a happy number.

1120385565 is a `hidden beast` number, since 1 + 12 + 0 + 3 + 85 + 565 = 666.

1120385565 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 84382596 + 1036002969 = 9186^2 + 32187^2 .

It is not a de Polignac number, because 1120385565 - 24 = 1120385549 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120385569) 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, 16056 + ... + 49985.

It is an arithmetic number, because the mean of its divisors is an integer number (45073665).

Almost surely, 21120385565 is an apocalyptic number.

1120385565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1120385565 is a deficient number, since it is larger than the sum of its proper divisors (1043150355).

1120385565 is a wasteful number, since it uses less digits than its factorization.

1120385565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66094 (or 66091 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 1120385565 is about 33472.1610446652. The cubic root of 1120385565 is about 1038.6179759830.

The spelling of 1120385565 in words is "one billion, one hundred twenty million, three hundred eighty-five thousand, five hundred sixty-five".

Divisors: 1 3 5 9 13 15 29 39 45 65 87 117 145 195 261 377 435 585 1131 1305 1885 3393 5655 16965 66041 198123 330205 594369 858533 990615 1915189 2575599 2971845 4292665 5745567 7726797 9575945 12877995 17236701 24897457 28727835 38633985 74692371 86183505 124487285 224077113 373461855 1120385565