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6541140 = 2235412659
BaseRepresentation
bin11000111100111101010100
3110022022202110
4120330331110
53133304030
6352111020
7106412244
oct30747524
913268673
106541140
113768501
122235470
1314803c8
14c23b24
158931b0
hex63cf54

6541140 has 48 divisors (see below), whose sum is σ = 18768960. Its totient is φ = 1701120.

The previous prime is 6541123. The next prime is 6541151. The reversal of 6541140 is 411456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1131 + ... + 3789.

It is an arithmetic number, because the mean of its divisors is an integer number (391020).

Almost surely, 26541140 is an apocalyptic number.

6541140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6541140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9384480).

6541140 is an abundant number, since it is smaller than the sum of its proper divisors (12227820).

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

6541140 is a wasteful number, since it uses less digits than its factorization.

6541140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 6541140 is about 2557.5652484345. The cubic root of 6541140 is about 187.0184621501.

Adding to 6541140 its reverse (411456), we get a palindrome (6952596).

The spelling of 6541140 in words is "six million, five hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 2659 5318 7977 10636 13295 15954 26590 31908 39885 53180 79770 109019 159540 218038 327057 436076 545095 654114 1090190 1308228 1635285 2180380 3270570 6541140