Search a number
-
+
6540456 = 2331320963
BaseRepresentation
bin11000111100110010101000
3110022021211010
4120330302220
53133243311
6352103520
7106410246
oct30746250
913267733
106540456
113767a3a
122234ba0
13147ccc0
14c23796
15892da6
hex63cca8

6540456 has 32 divisors (see below), whose sum is σ = 17609760. Its totient is φ = 2012352.

The previous prime is 6540451. The next prime is 6540467.

6540456 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (6540451) 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, 10170 + ... + 10793.

It is an arithmetic number, because the mean of its divisors is an integer number (550305).

Almost surely, 26540456 is an apocalyptic number.

It is an amenable number.

6540456 is an abundant number, since it is smaller than the sum of its proper divisors (11069304).

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

6540456 is a wasteful number, since it uses less digits than its factorization.

6540456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20985 (or 20981 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 6540456 is about 2557.4315240100. The cubic root of 6540456 is about 187.0119431494.

It can be divided in two parts, 6540 and 456, that added together give a palindrome (6996).

The spelling of 6540456 in words is "six million, five hundred forty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 20963 41926 62889 83852 125778 167704 251556 272519 503112 545038 817557 1090076 1635114 2180152 3270228 6540456