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2680209 = 34729163
BaseRepresentation
bin1010001110010110010001
312001011120000
422032112101
51141231314
6133240213
731532010
oct12162621
95034500
102680209
111570754
12a93069
1372ac2c
144daa77
1537e209
hex28e591

2680209 has 40 divisors (see below), whose sum is σ = 4762560. Its totient is φ = 1469664.

The previous prime is 2680141. The next prime is 2680231. The reversal of 2680209 is 9020862.

It is not a de Polignac number, because 2680209 - 28 = 2679953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2680009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16362 + ... + 16524.

It is an arithmetic number, because the mean of its divisors is an integer number (119064).

22680209 is an apocalyptic number.

2680209 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2680209 is a deficient number, since it is larger than the sum of its proper divisors (2082351).

2680209 is a wasteful number, since it uses less digits than its factorization.

2680209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2680209 is about 1637.1343866647. The cubic root of 2680209 is about 138.9066018535.

The spelling of 2680209 in words is "two million, six hundred eighty thousand, two hundred nine".

Divisors: 1 3 7 9 21 27 29 63 81 87 163 189 203 261 489 567 609 783 1141 1467 1827 2349 3423 4401 4727 5481 10269 13203 14181 16443 30807 33089 42543 92421 99267 127629 297801 382887 893403 2680209