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6540268 = 2273759107
BaseRepresentation
bin11000111100101111101100
3110022021120011
4120330233230
53133242033
6352103004
7106406560
oct30745754
913267504
106540268
113767889
122234a64
13147cba7
14c236a0
15892ccd
hex63cbec

6540268 has 48 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 2655936.

The previous prime is 6540251. The next prime is 6540269. The reversal of 6540268 is 8620456.

It is not an unprimeable number, because it can be changed into a prime (6540269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61071 + ... + 61177.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 26540268 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 6540268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

6540268 is an abundant number, since it is smaller than the sum of its proper divisors (7249172).

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

6540268 is a wasteful number, since it uses less digits than its factorization.

6540268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 6540268 is about 2557.3947681185. The cubic root of 6540268 is about 187.0101512977.

The spelling of 6540268 in words is "six million, five hundred forty thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 37 59 74 107 118 148 214 236 259 413 428 518 749 826 1036 1498 1652 2183 2996 3959 4366 6313 7918 8732 12626 15281 15836 25252 27713 30562 44191 55426 61124 88382 110852 176764 233581 467162 934324 1635067 3270134 6540268