Search a number
-
+
6661120 = 21051301
BaseRepresentation
bin11001011010010000000000
3110112102100011
4121122100000
53201123440
6354434304
7110422114
oct31322000
913472304
106661120
11383a664
122292994
1314c2bbb
14c55744
158b89ea
hex65a400

6661120 has 44 divisors (see below), whose sum is σ = 15991164. Its totient is φ = 2662400.

The previous prime is 6661117. The next prime is 6661141. The reversal of 6661120 is 211666.

6661120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 746496 + 5914624 = 864^2 + 2432^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6661091 and 6661100.

It is an unprimeable number.

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, 4470 + ... + 5770.

Almost surely, 26661120 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 6661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7995582).

6661120 is an abundant number, since it is smaller than the sum of its proper divisors (9330044).

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

6661120 is a wasteful number, since it uses less digits than its factorization.

6661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 6661120 is about 2580.9145665829. The cubic root of 6661120 is about 188.1549951620.

Adding to 6661120 its reverse (211666), we get a palindrome (6872786).

The spelling of 6661120 in words is "six million, six hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 1301 2560 2602 5120 5204 6505 10408 13010 20816 26020 41632 52040 83264 104080 166528 208160 333056 416320 666112 832640 1332224 1665280 3330560 6661120