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1004085 = 32553421
BaseRepresentation
bin11110101001000110101
31220000100100
43311020311
5224112320
633304313
711351235
oct3651065
91800310
101004085
11626425
12405099
13292044
141c1cc5
1514c790
hexf5235

1004085 has 24 divisors (see below), whose sum is σ = 1777464. Its totient is φ = 524160.

The previous prime is 1004077. The next prime is 1004089. The reversal of 1004085 is 5804001.

It can be written as a sum of positive squares in 4 ways, for example, as 6084 + 998001 = 78^2 + 999^2 .

It is not a de Polignac number, because 1004085 - 23 = 1004077 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004089) 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 23 ways as a sum of consecutive naturals, for example, 2175 + ... + 2595.

It is an arithmetic number, because the mean of its divisors is an integer number (74061).

21004085 is an apocalyptic number.

1004085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1004085 is a deficient number, since it is larger than the sum of its proper divisors (773379).

1004085 is a wasteful number, since it uses less digits than its factorization.

1004085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1004085 is about 1002.0404183465. The cubic root of 1004085 is about 100.1359816727.

Adding to 1004085 its reverse (5804001), we get a palindrome (6808086).

The spelling of 1004085 in words is "one million, four thousand, eighty-five".

Divisors: 1 3 5 9 15 45 53 159 265 421 477 795 1263 2105 2385 3789 6315 18945 22313 66939 111565 200817 334695 1004085