Search a number
-
+
2605304 = 231324147
BaseRepresentation
bin1001111100000011111000
311220100210202
421330003320
51131332204
6131501332
731100432
oct11740370
94810722
102605304
11151a449
12a57848
13702b00
144bb652
15366e1e
hex27c0f8

2605304 has 48 divisors (see below), whose sum is σ = 5533920. Its totient is φ = 1148160.

The previous prime is 2605303. The next prime is 2605313. The reversal of 2605304 is 4035062.

2605304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2605303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55409 + ... + 55455.

It is an arithmetic number, because the mean of its divisors is an integer number (115290).

22605304 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 2605304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766960).

2605304 is an abundant number, since it is smaller than the sum of its proper divisors (2928616).

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

2605304 is a wasteful number, since it uses less digits than its factorization.

2605304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2605304 is about 1614.0954122976. The cubic root of 2605304 is about 137.6003278792.

The spelling of 2605304 in words is "two million, six hundred five thousand, three hundred four".

Divisors: 1 2 4 8 13 26 41 47 52 82 94 104 164 169 188 328 338 376 533 611 676 1066 1222 1352 1927 2132 2444 3854 4264 4888 6929 7708 7943 13858 15416 15886 25051 27716 31772 50102 55432 63544 100204 200408 325663 651326 1302652 2605304