[go: up one dir, main page]

Search a number
-
+
5677184 = 27172609
BaseRepresentation
bin10101101010000010000000
3101200102122002
4111222002000
52423132214
6321403132
766153362
oct25520200
911612562
105677184
113228397
121a994a8
13123a0a6
14a7ad32
157721de
hex56a080

5677184 has 32 divisors (see below), whose sum is σ = 11979900. Its totient is φ = 2670592.

The previous prime is 5677163. The next prime is 5677187. The reversal of 5677184 is 4817765.

It can be written as a sum of positive squares in 2 ways, for example, as 5569600 + 107584 = 2360^2 + 328^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (5677187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 872 + ... + 3480.

Almost surely, 25677184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5677184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5989950).

5677184 is an abundant number, since it is smaller than the sum of its proper divisors (6302716).

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

5677184 is a wasteful number, since it uses less digits than its factorization.

5677184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2628 counting only the distinct ones).

The product of its digits is 47040, while the sum is 38.

The square root of 5677184 is about 2382.6842006443. The cubic root of 5677184 is about 178.3929374429.

The spelling of 5677184 in words is "five million, six hundred seventy-seven thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 2609 5218 10436 20872 41744 44353 83488 88706 166976 177412 333952 354824 709648 1419296 2838592 5677184