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6538240 = 21051277
BaseRepresentation
bin11000111100010000000000
3110022011210001
4120330100000
53133210430
6352045344
7106400632
oct30742000
913264701
106538240
113766305
122233854
13147bca7
14c22a52
158923ca
hex63c400

6538240 has 44 divisors (see below), whose sum is σ = 15696396. Its totient is φ = 2613248.

The previous prime is 6538219. The next prime is 6538267. The reversal of 6538240 is 428356.

It can be written as a sum of positive squares in 2 ways, for example, as 3326976 + 3211264 = 1824^2 + 1792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6538199 and 6538208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4482 + ... + 5758.

Almost surely, 26538240 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 6538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7848198).

6538240 is an abundant number, since it is smaller than the sum of its proper divisors (9158156).

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

6538240 is a wasteful number, since it uses less digits than its factorization.

6538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 6538240 is about 2556.9982401245. The cubic root of 6538240 is about 186.9908199903.

The spelling of 6538240 in words is "six million, five hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1277 1280 2554 2560 5108 5120 6385 10216 12770 20432 25540 40864 51080 81728 102160 163456 204320 326912 408640 653824 817280 1307648 1634560 3269120 6538240