Search a number
-
+
6530784 = 253135233
BaseRepresentation
bin11000111010011011100000
3110021210112220
4120322123200
53132441114
6351551040
7106340121
oct30723340
913253486
106530784
113760747
12222b480
131478790
14c20048
158900a9
hex63a6e0

6530784 has 48 divisors (see below), whose sum is σ = 18465552. Its totient is φ = 2009088.

The previous prime is 6530779. The next prime is 6530789. The reversal of 6530784 is 4870356.

It is an interprime number because it is at equal distance from previous prime (6530779) and next prime (6530789).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×65307842 = 85302279309312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6530789) 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 7 ways as a sum of consecutive naturals, for example, 1369 + ... + 3864.

It is an arithmetic number, because the mean of its divisors is an integer number (384699).

Almost surely, 26530784 is an apocalyptic number.

It is an amenable number.

6530784 is an abundant number, since it is smaller than the sum of its proper divisors (11934768).

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

6530784 is a wasteful number, since it uses less digits than its factorization.

6530784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5251 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 6530784 is about 2555.5398646861. The cubic root of 6530784 is about 186.9197135020.

The spelling of 6530784 in words is "six million, five hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 5233 10466 15699 20932 31398 41864 62796 68029 83728 125592 136058 167456 204087 251184 272116 408174 502368 544232 816348 1088464 1632696 2176928 3265392 6530784