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1006009 = 172592
BaseRepresentation
bin11110101100110111001
31220002222121
43311212321
5224143014
633321241
711356654
oct3654671
91802877
101006009
11627914
12406221
13292b94
141c289b
1514d124
hexf59b9

1006009 has 9 divisors (see below), whose sum is σ = 1087087. Its totient is φ = 930784.

The previous prime is 1006007. The next prime is 1006021. The reversal of 1006009 is 9006001.

The square root of 1006009 is 1003.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 783225 + 222784 = 885^2 + 472^2 .

It is not a de Polignac number, because 1006009 - 21 = 1006007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005983 and 1006001.

It is not an unprimeable number, because it can be changed into a prime (1006003) 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 8 ways as a sum of consecutive naturals, for example, 17022 + ... + 17080.

21006009 is an apocalyptic number.

1006009 is the 1003-rd square number.

1006009 is the 502-nd centered octagonal number.

It is an amenable number.

1006009 is a deficient number, since it is larger than the sum of its proper divisors (81078).

1006009 is an frugal number, since it uses more digits than its factorization.

1006009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The cubic root of 1006009 is about 100.1999001331.

The spelling of 1006009 in words is "one million, six thousand, nine".

Divisors: 1 17 59 289 1003 3481 17051 59177 1006009