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540243136 = 26172321589
BaseRepresentation
bin100000001100110…
…111010011000000
31101122120012021001
4200030313103000
52101300240021
6125335141344
716246663606
oct4014672300
91348505231
10540243136
11257a53734
12130b14854
1387c054c4
1451a6d876
1532667091
hex203374c0

540243136 has 56 divisors (see below), whose sum is σ = 1184513760. Its totient is φ = 243167232.

The previous prime is 540243079. The next prime is 540243161. The reversal of 540243136 is 631342045.

It is a super-2 number, since 2×5402431362 = 583725291990228992, which contains 22 as substring.

It is an unprimeable number.

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, 14230 + ... + 35818.

Almost surely, 2540243136 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 540243136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592256880).

540243136 is an abundant number, since it is smaller than the sum of its proper divisors (644270624).

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

540243136 is a wasteful number, since it uses less digits than its factorization.

540243136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21641 (or 21631 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 540243136 is about 23243.1309422806. The cubic root of 540243136 is about 814.4474837961.

The spelling of 540243136 in words is "five hundred forty million, two hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 136 184 272 368 391 544 736 782 1088 1472 1564 3128 6256 12512 21589 25024 43178 86356 172712 345424 367013 496547 690848 734026 993094 1381696 1468052 1986188 2936104 3972376 5872208 7944752 8441299 11744416 15889504 16882598 23488832 31779008 33765196 67530392 135060784 270121568 540243136