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540111366 = 232192416553
BaseRepresentation
bin100000001100010…
…111001000000110
31101122022111111200
4200030113020012
52101232030431
6125332243330
716245604464
oct4014271006
91348274450
10540111366
11257973733
12130a70546
1387b8a532
1451a37834
153263cee6
hex20317206

540111366 has 48 divisors (see below), whose sum is σ = 1237133040. Its totient is φ = 169827840.

The previous prime is 540111361. The next prime is 540111367. The reversal of 540111366 is 663111045.

540111366 is a `hidden beast` number, since 540 + 1 + 113 + 6 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540111361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79146 + ... + 85698.

It is an arithmetic number, because the mean of its divisors is an integer number (25773605).

Almost surely, 2540111366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540111366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618566520).

540111366 is an abundant number, since it is smaller than the sum of its proper divisors (697021674).

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

540111366 is a wasteful number, since it uses less digits than its factorization.

540111366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6821 (or 6818 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 540111366 is about 23240.2961685087. The cubic root of 540111366 is about 814.3812614699.

The spelling of 540111366 in words is "five hundred forty million, one hundred eleven thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 241 342 482 723 1446 2169 4338 4579 6553 9158 13106 13737 19659 27474 39318 41211 58977 82422 117954 124507 249014 373521 747042 1120563 1579273 2241126 3158546 4737819 9475638 14213457 28426914 30006187 60012374 90018561 180037122 270055683 540111366