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6004313 = 72181677
BaseRepresentation
bin10110111001111001011001
3102022001100222
4112321321121
53014114223
6332405425
7102015200
oct26717131
912261328
106004313
113431147
122016875
131322c63
14b24237
157d90c8
hex5b9e59

6004313 has 12 divisors (see below), whose sum is σ = 7033572. Its totient is φ = 5110560.

The previous prime is 6004309. The next prime is 6004321. The reversal of 6004313 is 3134006.

It can be written as a sum of positive squares in 2 ways, for example, as 3087049 + 2917264 = 1757^2 + 1708^2 .

It is not a de Polignac number, because 6004313 - 22 = 6004309 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6004291 and 6004300.

It is not an unprimeable number, because it can be changed into a prime (6004333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8531 + ... + 9207.

It is an arithmetic number, because the mean of its divisors is an integer number (586131).

Almost surely, 26004313 is an apocalyptic number.

It is an amenable number.

6004313 is a deficient number, since it is larger than the sum of its proper divisors (1029259).

6004313 is a wasteful number, since it uses less digits than its factorization.

6004313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 6004313 is about 2450.3699720654. The cubic root of 6004313 is about 181.7555890831.

Adding to 6004313 its reverse (3134006), we get a palindrome (9138319).

It can be divided in two parts, 600 and 4313, that added together give a cube (4913 = 173).

The spelling of 6004313 in words is "six million, four thousand, three hundred thirteen".

Divisors: 1 7 49 181 677 1267 4739 8869 33173 122537 857759 6004313