Search a number
-
+
6000561 = 34719557
BaseRepresentation
bin10110111000111110110001
3102021212020000
4112320332301
53014004221
6332340213
7102001230
oct26707661
912255200
106000561
113429346
122014669
131321338
14b22b17
157d7e26
hex5b8fb1

6000561 has 40 divisors (see below), whose sum is σ = 10802880. Its totient is φ = 3242592.

The previous prime is 6000557. The next prime is 6000569. The reversal of 6000561 is 1650006.

6000561 is a `hidden beast` number, since 600 + 0 + 5 + 61 = 666.

It is not a de Polignac number, because 6000561 - 22 = 6000557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6000569) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10495 + ... + 11051.

It is an arithmetic number, because the mean of its divisors is an integer number (270072).

Almost surely, 26000561 is an apocalyptic number.

It is an amenable number.

6000561 is a deficient number, since it is larger than the sum of its proper divisors (4802319).

6000561 is a wasteful number, since it uses less digits than its factorization.

6000561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 6000561 is about 2449.6042537520. The cubic root of 6000561 is about 181.7177224659.

Adding to 6000561 its reverse (1650006), we get a palindrome (7650567).

It can be divided in two parts, 6000 and 561, that added together give a 8-th power (6561 = 38).

The spelling of 6000561 in words is "six million, five hundred sixty-one", and thus it is an aban number.

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 399 513 557 567 1197 1539 1671 3591 3899 5013 10583 10773 11697 15039 31749 35091 45117 74081 95247 105273 222243 285741 315819 666729 857223 2000187 6000561