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2140209 = 33312557
BaseRepresentation
bin1000001010100000110001
311000201211000
420022200301
51021441314
6113512213
724122451
oct10124061
94021730
102140209
111231a75
12872669
1359c1c6
143d9d61
152c4209
hex20a831

2140209 has 16 divisors (see below), whose sum is σ = 3274240. Its totient is φ = 1380240.

The previous prime is 2140207. The next prime is 2140223. The reversal of 2140209 is 9020412.

It is not a de Polignac number, because 2140209 - 21 = 2140207 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2140191 and 2140200.

It is not an unprimeable number, because it can be changed into a prime (2140207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442 + ... + 2115.

It is an arithmetic number, because the mean of its divisors is an integer number (204640).

22140209 is an apocalyptic number.

It is an amenable number.

2140209 is a deficient number, since it is larger than the sum of its proper divisors (1134031).

2140209 is a wasteful number, since it uses less digits than its factorization.

2140209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2140209 is about 1462.9453168181. The cubic root of 2140209 is about 128.8700692840.

The spelling of 2140209 in words is "two million, one hundred forty thousand, two hundred nine".

Divisors: 1 3 9 27 31 93 279 837 2557 7671 23013 69039 79267 237801 713403 2140209