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6005233 = 131729937
BaseRepresentation
bin10110111010000111110001
3102022002122001
4112322013301
53014131413
6332414001
7102020653
oct26720761
912262561
106005233
113431903
122017301
1313234c0
14b246d3
157d94dd
hex5ba1f1

6005233 has 16 divisors (see below), whose sum is σ = 7091280. Its totient is φ = 5031936.

The previous prime is 6005213. The next prime is 6005287. The reversal of 6005233 is 3325006.

It can be written as a sum of positive squares in 8 ways, for example, as 567009 + 5438224 = 753^2 + 2332^2 .

It is not a de Polignac number, because 6005233 - 25 = 6005201 is a prime.

It is a Duffinian number.

6005233 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 6005233.

It is not an unprimeable number, because it can be changed into a prime (6005203) 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 15 ways as a sum of consecutive naturals, for example, 5941 + ... + 6877.

It is an arithmetic number, because the mean of its divisors is an integer number (443205).

Almost surely, 26005233 is an apocalyptic number.

It is an amenable number.

6005233 is a deficient number, since it is larger than the sum of its proper divisors (1086047).

6005233 is a wasteful number, since it uses less digits than its factorization.

6005233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996.

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 6005233 is about 2450.5576916286. The cubic root of 6005233 is about 181.7648716661.

The spelling of 6005233 in words is "six million, five thousand, two hundred thirty-three".

Divisors: 1 13 17 29 221 377 493 937 6409 12181 15929 27173 207077 353249 461941 6005233