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540360390 = 23523783131
BaseRepresentation
bin100000001101010…
…011111011000110
31101122210011002210
4200031103323012
52101313013030
6125341444250
716250662503
oct4015237306
91348704083
10540360390
11258023839
12130b70686
1387c4699b
1451aa04aa
153268bbb0
hex20353ec6

540360390 has 32 divisors (see below), whose sum is σ = 1353252096. Its totient is φ = 137830880.

The previous prime is 540360389. The next prime is 540360391. The reversal of 540360390 is 93063045.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (540360389) and next prime (540360391).

It is a super-3 number, since 3×5403603903 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540360391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390876 + ... + 392255.

It is an arithmetic number, because the mean of its divisors is an integer number (42289128).

Almost surely, 2540360390 is an apocalyptic number.

540360390 is an abundant number, since it is smaller than the sum of its proper divisors (812891706).

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

540360390 is a wasteful number, since it uses less digits than its factorization.

540360390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783164.

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 540360390 is about 23245.6531420393. The cubic root of 540360390 is about 814.5064019083.

The spelling of 540360390 in words is "five hundred forty million, three hundred sixty thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 783131 1566262 2349393 3915655 4698786 7831310 11746965 18012013 23493930 36024026 54036039 90060065 108072078 180120130 270180195 540360390