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1004007 = 3432181
BaseRepresentation
bin11110101000111100111
31220000020110
43311013213
5224112012
633304103
711351064
oct3650747
91800213
101004007
11626364
12405033
13291cb4
141c1c6b
1514c73c
hexf51e7

1004007 has 12 divisors (see below), whose sum is σ = 1378104. Its totient is φ = 650160.

The previous prime is 1003963. The next prime is 1004027. The reversal of 1004007 is 7004001.

It is not a de Polignac number, because 1004007 - 26 = 1003943 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003983 and 1004001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004027) 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, 5457 + ... + 5637.

It is an arithmetic number, because the mean of its divisors is an integer number (114842).

21004007 is an apocalyptic number.

1004007 is a deficient number, since it is larger than the sum of its proper divisors (374097).

1004007 is an equidigital number, since it uses as much as digits as its factorization.

1004007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 1004007 is about 1002.0014970049. The cubic root of 1004007 is about 100.1333886622.

Adding to 1004007 its reverse (7004001), we get a palindrome (8008008).

The spelling of 1004007 in words is "one million, four thousand, seven".

Divisors: 1 3 43 129 181 543 1849 5547 7783 23349 334669 1004007