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5306805 = 325717991
BaseRepresentation
bin10100001111100110110101
3100222121120100
4110033212311
52324304210
6305424313
763051510
oct24174665
910877510
105306805
112aa5099
12193b099
13113a62a
149c1d77
156ec5c0
hex50f9b5

5306805 has 48 divisors (see below), whose sum is σ = 11142144. Its totient is φ = 2280960.

The previous prime is 5306801. The next prime is 5306809. The reversal of 5306805 is 5086035.

5306805 = T160 + T161 + ... + T329.

5306805 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5306801) and next prime (5306809).

It is not a de Polignac number, because 5306805 - 22 = 5306801 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5306801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4860 + ... + 5850.

It is an arithmetic number, because the mean of its divisors is an integer number (232128).

Almost surely, 25306805 is an apocalyptic number.

It is an amenable number.

5306805 is an abundant number, since it is smaller than the sum of its proper divisors (5835339).

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

5306805 is a wasteful number, since it uses less digits than its factorization.

5306805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5306805 is about 2303.6503640961. The cubic root of 5306805 is about 174.4259283933.

The spelling of 5306805 in words is "five million, three hundred six thousand, eight hundred five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 991 1071 1785 2973 4955 5355 6937 8919 14865 16847 20811 34685 44595 50541 62433 84235 104055 117929 151623 252705 312165 353787 589645 758115 1061361 1768935 5306805