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2180009 = 13232317
BaseRepresentation
bin1000010100001110101001
311002202102002
420110032221
51024230014
6114420345
724346466
oct10241651
94082362
102180009
111259967
128916b5
135b4360
1440a66d
152d0dde
hex2143a9

2180009 has 12 divisors (see below), whose sum is σ = 2461956. Its totient is φ = 1918752.

The previous prime is 2179997. The next prime is 2180021. The reversal of 2180009 is 9000812.

It is an interprime number because it is at equal distance from previous prime (2179997) and next prime (2180021).

It can be written as a sum of positive squares in 2 ways, for example, as 211600 + 1968409 = 460^2 + 1403^2 .

It is not a de Polignac number, because 2180009 - 24 = 2179993 is a prime.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6719 + ... + 7035.

It is an arithmetic number, because the mean of its divisors is an integer number (205163).

22180009 is an apocalyptic number.

It is an amenable number.

2180009 is a deficient number, since it is larger than the sum of its proper divisors (281947).

2180009 is a wasteful number, since it uses less digits than its factorization.

2180009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 2180009 is about 1476.4853538048. The cubic root of 2180009 is about 129.6640041336.

The spelling of 2180009 in words is "two million, one hundred eighty thousand, nine".

Divisors: 1 13 23 299 317 529 4121 6877 7291 94783 167693 2180009