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6542240 = 255311319
BaseRepresentation
bin11000111101001110100000
3110022101021012
4120331032200
53133322430
6352120052
7106415405
oct30751640
913271235
106542240
113769311
122236028
131480a63
14c242ac
15893695
hex63d3a0

6542240 has 48 divisors (see below), whose sum is σ = 15966720. Its totient is φ = 2530560.

The previous prime is 6542219. The next prime is 6542243. The reversal of 6542240 is 422456.

It is not an unprimeable number, because it can be changed into a prime (6542243) 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 7 ways as a sum of consecutive naturals, for example, 4301 + ... + 5619.

It is an arithmetic number, because the mean of its divisors is an integer number (332640).

Almost surely, 26542240 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 6542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983360).

6542240 is an abundant number, since it is smaller than the sum of its proper divisors (9424480).

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

6542240 is a wasteful number, since it uses less digits than its factorization.

6542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 6542240 is about 2557.7802876713. The cubic root of 6542240 is about 187.0289449700.

Adding to 6542240 its reverse (422456), we get a palindrome (6964696).

The spelling of 6542240 in words is "six million, five hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 1319 2480 2638 4960 5276 6595 10552 13190 21104 26380 40889 42208 52760 81778 105520 163556 204445 211040 327112 408890 654224 817780 1308448 1635560 3271120 6542240