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6540138 = 23211172967
BaseRepresentation
bin11000111100101101101010
3110022021101100
4120330231222
53133241023
6352102230
7106406313
oct30745552
913267340
106540138
113767780
122234976
13147cb07
14c2360a
15892c43
hex63cb6a

6540138 has 96 divisors (see below), whose sum is σ = 17184960. Its totient is φ = 1774080.

The previous prime is 6540133. The next prime is 6540139. The reversal of 6540138 is 8310456.

6540138 is a `hidden beast` number, since 654 + 0 + 1 + 3 + 8 = 666.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6540133) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 97581 + ... + 97647.

It is an arithmetic number, because the mean of its divisors is an integer number (179010).

Almost surely, 26540138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6540138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8592480).

6540138 is an abundant number, since it is smaller than the sum of its proper divisors (10644822).

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

6540138 is a wasteful number, since it uses less digits than its factorization.

6540138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6540138 is about 2557.3693515017. The cubic root of 6540138 is about 187.0089122312.

The spelling of 6540138 in words is "six million, five hundred forty thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 17 18 22 29 33 34 51 58 66 67 87 99 102 134 153 174 187 198 201 261 306 319 374 402 493 522 561 603 638 737 957 986 1122 1139 1206 1474 1479 1683 1914 1943 2211 2278 2871 2958 3366 3417 3886 4422 4437 5423 5742 5829 6633 6834 8874 10251 10846 11658 12529 13266 16269 17487 20502 21373 25058 32538 33031 34974 37587 42746 48807 64119 66062 75174 97614 99093 112761 128238 192357 198186 225522 297279 363341 384714 594558 726682 1090023 2180046 3270069 6540138