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6387138 = 2321720873
BaseRepresentation
bin11000010111010111000010
3110000111111200
4120113113002
53113342023
6344522030
7105201252
oct30272702
913014450
106387138
11367282a
122180316
131428294
14bc3962
15862743
hex6175c2

6387138 has 24 divisors (see below), whose sum is σ = 14653548. Its totient is φ = 2003712.

The previous prime is 6387131. The next prime is 6387179. The reversal of 6387138 is 8317836.

6387138 is a `hidden beast` number, since 638 + 7 + 13 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6365529 + 21609 = 2523^2 + 147^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6387131) 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 11 ways as a sum of consecutive naturals, for example, 10131 + ... + 10742.

Almost surely, 26387138 is an apocalyptic number.

6387138 is an abundant number, since it is smaller than the sum of its proper divisors (8266410).

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

6387138 is a wasteful number, since it uses less digits than its factorization.

6387138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20898 (or 20895 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 6387138 is about 2527.2787737011. The cubic root of 6387138 is about 185.5390946921.

It can be divided in two parts, 638 and 7138, that added together give a 5-th power (7776 = 65).

The spelling of 6387138 in words is "six million, three hundred eighty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 20873 41746 62619 125238 187857 354841 375714 709682 1064523 2129046 3193569 6387138