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1000441 = 13411877
BaseRepresentation
bin11110100001111111001
31212211100101
43310033321
5224003231
633235401
711334511
oct3641771
91784311
101000441
11623712
12402b61
132904a0
141c0841
1514b661
hexf43f9

1000441 has 8 divisors (see below), whose sum is σ = 1104264. Its totient is φ = 900480.

The previous prime is 1000429. The next prime is 1000453. The reversal of 1000441 is 1440001.

It is an interprime number because it is at equal distance from previous prime (1000429) and next prime (1000453).

It can be written as a sum of positive squares in 4 ways, for example, as 441 + 1000000 = 21^2 + 1000^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000441 - 25 = 1000409 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000541) 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 7 ways as a sum of consecutive naturals, for example, 406 + ... + 1471.

It is an arithmetic number, because the mean of its divisors is an integer number (138033).

21000441 is an apocalyptic number.

It is an amenable number.

1000441 is a deficient number, since it is larger than the sum of its proper divisors (103823).

1000441 is a wasteful number, since it uses less digits than its factorization.

1000441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1000441 is about 1000.2204756952. The cubic root of 1000441 is about 100.0146978396.

Adding to 1000441 its reverse (1440001), we get a palindrome (2440442).

It can be divided in two parts, 1000 and 441, that added together give a palindrome (1441).

The spelling of 1000441 in words is "one million, four hundred forty-one", and thus it is an aban number.

Divisors: 1 13 41 533 1877 24401 76957 1000441