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2540853 = 327311301
BaseRepresentation
bin1001101100010100110101
311210002101200
421230110311
51122301403
6130243113
730411510
oct11542465
94702350
102540853
111485a87
12a26499
136ac683
144a1d77
15352ca3
hex26c535

2540853 has 24 divisors (see below), whose sum is σ = 4333056. Its totient is φ = 1404000.

The previous prime is 2540849. The next prime is 2540869. The reversal of 2540853 is 3580452.

2540853 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2540853 - 22 = 2540849 is a prime.

It is a d-powerful number, because it can be written as 220 + 54 + 410 + 0 + 85 + 58 + 39 .

It is a Curzon number.

2540853 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541853) 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 23 ways as a sum of consecutive naturals, for example, 1303 + ... + 2603.

It is an arithmetic number, because the mean of its divisors is an integer number (180544).

22540853 is an apocalyptic number.

It is an amenable number.

2540853 is a deficient number, since it is larger than the sum of its proper divisors (1792203).

2540853 is a wasteful number, since it uses less digits than its factorization.

2540853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2540853 is about 1594.0053324879. The cubic root of 2540853 is about 136.4561707690.

The spelling of 2540853 in words is "two million, five hundred forty thousand, eight hundred fifty-three".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1301 1953 3903 9107 11709 27321 40331 81963 120993 282317 362979 846951 2540853