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2682306 = 23211192331
BaseRepresentation
bin1010001110110111000010
312001021102200
422032313002
51141313211
6133254030
731541064
oct12166702
95037380
102682306
111572290
12a94316
1372bb83
144db734
1537eb56
hex28edc2

2682306 has 96 divisors (see below), whose sum is σ = 7188480. Its totient is φ = 712800.

The previous prime is 2682301. The next prime is 2682307. The reversal of 2682306 is 6032862.

2682306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2682306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86511 + ... + 86541.

It is an arithmetic number, because the mean of its divisors is an integer number (74880).

22682306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2682306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594240).

2682306 is an abundant number, since it is smaller than the sum of its proper divisors (4506174).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2682306 is a wasteful number, since it uses less digits than its factorization.

2682306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2682306 is about 1637.7747097815. The cubic root of 2682306 is about 138.9428193287.

The spelling of 2682306 in words is "two million, six hundred eighty-two thousand, three hundred six".

Divisors: 1 2 3 6 9 11 18 19 22 23 31 33 38 46 57 62 66 69 93 99 114 138 171 186 198 207 209 253 279 341 342 414 418 437 506 558 589 627 682 713 759 874 1023 1178 1254 1311 1426 1518 1767 1881 2046 2139 2277 2622 3069 3534 3762 3933 4278 4554 4807 5301 6138 6417 6479 7843 7866 9614 10602 12834 12958 13547 14421 15686 19437 23529 27094 28842 38874 40641 43263 47058 58311 70587 81282 86526 116622 121923 141174 149017 243846 298034 447051 894102 1341153 2682306