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540016440 = 23354500137
BaseRepresentation
bin100000001011111…
…111111100111000
31101122010200021220
4200023333330320
52101221011230
6125330232040
716245030645
oct4013777470
91348120256
10540016440
11257909387
12130a25620
1387b56272
1451a10dcc
153261ed10
hex202fff38

540016440 has 32 divisors (see below), whose sum is σ = 1620049680. Its totient is φ = 144004352.

The previous prime is 540016427. The next prime is 540016447. The reversal of 540016440 is 44610045.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 540016440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540016447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2249949 + ... + 2250188.

Almost surely, 2540016440 is an apocalyptic number.

It is an amenable number.

540016440 is an abundant number, since it is smaller than the sum of its proper divisors (1080033240).

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

540016440 is a wasteful number, since it uses less digits than its factorization.

540016440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500151 (or 4500147 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 540016440 is about 23238.2538070312. The cubic root of 540016440 is about 814.3335487882. Note that the first 3 decimals are identical.

Adding to 540016440 its reverse (44610045), we get a palindrome (584626485).

The spelling of 540016440 in words is "five hundred forty million, sixteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4500137 9000274 13500411 18000548 22500685 27000822 36001096 45001370 54001644 67502055 90002740 108003288 135004110 180005480 270008220 540016440