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6540256 = 251931347
BaseRepresentation
bin11000111100101111100000
3110022021112201
4120330233200
53133242011
6352102544
7106406542
oct30745740
913267481
106540256
113767878
122234a54
13147cb98
14c23692
15892cc1
hex63cbe0

6540256 has 48 divisors (see below), whose sum is σ = 14031360. Its totient is φ = 2989440.

The previous prime is 6540251. The next prime is 6540269. The reversal of 6540256 is 6520456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6540251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18675 + ... + 19021.

It is an arithmetic number, because the mean of its divisors is an integer number (292320).

Almost surely, 26540256 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 6540256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015680).

6540256 is an abundant number, since it is smaller than the sum of its proper divisors (7491104).

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

6540256 is a wasteful number, since it uses less digits than its factorization.

6540256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 6540256 is about 2557.3924219799. The cubic root of 6540256 is about 187.0100369230.

Adding to 6540256 its product of nonzero digits (7200), we get a palindrome (6547456).

The spelling of 6540256 in words is "six million, five hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 304 347 496 589 608 694 992 1178 1388 2356 2776 4712 5552 6593 9424 10757 11104 13186 18848 21514 26372 43028 52744 86056 105488 172112 204383 210976 344224 408766 817532 1635064 3270128 6540256