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2604 = 223731
BaseRepresentation
bin101000101100
310120110
4220230
540404
620020
710410
oct5054
93513
102604
111a58
121610
131254
14d40
15b89
hexa2c

2604 has 24 divisors (see below), whose sum is σ = 7168. Its totient is φ = 720.

The previous prime is 2593. The next prime is 2609. The reversal of 2604 is 4062.

Subtracting from 2604 its product of nonzero digits (48), we obtain a triangular number (2556 = T71).

Adding to 2604 its reverse (4062), we get a palindrome (6666).

It can be divided in two parts, 2 and 604, that added together give a palindrome (606).

2604 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (12).

2604 is an undulating number in base 5.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 2604.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2604.

It is not an unprimeable number, because it can be changed into a prime (2609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69 + ... + 99.

22604 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 2604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584).

2604 is an abundant number, since it is smaller than the sum of its proper divisors (4564).

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

2604 is a wasteful number, since it uses less digits than its factorization.

2604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2604 is about 51.0294032887. The cubic root of 2604 is about 13.7577366928.

The spelling of 2604 in words is "two thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2604