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540540240 = 24352252251
BaseRepresentation
bin100000001101111…
…111110101010000
31101200010021210220
4200031333311100
52101334241430
6125345353040
716252342032
oct4015776520
91350107726
10540540240
11258136979
12131038780
1387caa7c6
1451b09c52
15326c5110
hex2037fd50

540540240 has 40 divisors (see below), whose sum is σ = 1675675488. Its totient is φ = 144144000.

The previous prime is 540540233. The next prime is 540540257. The reversal of 540540240 is 42045045.

540540240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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 540540240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1125886 + ... + 1126365.

Almost surely, 2540540240 is an apocalyptic number.

It is an amenable number.

540540240 is an abundant number, since it is smaller than the sum of its proper divisors (1135135248).

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

540540240 is a wasteful number, since it uses less digits than its factorization.

540540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252267 (or 2252261 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 540540240 is about 23249.5212853942. The cubic root of 540540240 is about 814.5967568702.

Adding to 540540240 its reverse (42045045), we get a palindrome (582585285).

The spelling of 540540240 in words is "five hundred forty million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2252251 4504502 6756753 9009004 11261255 13513506 18018008 22522510 27027012 33783765 36036016 45045020 54054024 67567530 90090040 108108048 135135060 180180080 270270120 540540240