Search a number
-
+
6542560 = 255103397
BaseRepresentation
bin11000111101010011100000
3110022101201001
4120331103200
53133330220
6352121344
7106416343
oct30752340
913271631
106542560
113769582
122236254
131480c4b
14c2445a
1589380a
hex63d4e0

6542560 has 48 divisors (see below), whose sum is σ = 15646176. Its totient is φ = 2585088.

The previous prime is 6542551. The next prime is 6542561. The reversal of 6542560 is 652456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6542561) 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, 16282 + ... + 16678.

It is an arithmetic number, because the mean of its divisors is an integer number (325962).

Almost surely, 26542560 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 6542560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7823088).

6542560 is an abundant number, since it is smaller than the sum of its proper divisors (9103616).

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

6542560 is a wasteful number, since it uses less digits than its factorization.

6542560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 6542560 is about 2557.8428411456. The cubic root of 6542560 is about 187.0319942969.

The spelling of 6542560 in words is "six million, five hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 397 412 515 794 824 1030 1588 1648 1985 2060 3176 3296 3970 4120 6352 7940 8240 12704 15880 16480 31760 40891 63520 81782 163564 204455 327128 408910 654256 817820 1308512 1635640 3271280 6542560