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540750384 = 24332514987
BaseRepresentation
bin100000001110110…
…011001000110000
31101200111222002000
4200032303020300
52101413003014
6125354054000
716254205506
oct4016631060
91350458060
10540750384
1125826a849
1213111a300
1388052355
1451b62676
1532717509
hex203b3230

540750384 has 80 divisors (see below), whose sum is σ = 1558650240. Its totient is φ = 179496000.

The previous prime is 540750373. The next prime is 540750403. The reversal of 540750384 is 483057045.

It is a super-2 number, since 2×5407503842 = 584821955592294912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 105939 + ... + 110925.

It is an arithmetic number, because the mean of its divisors is an integer number (19483128).

Almost surely, 2540750384 is an apocalyptic number.

540750384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540750384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779325120).

540750384 is an abundant number, since it is smaller than the sum of its proper divisors (1017899856).

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

540750384 is a wasteful number, since it uses less digits than its factorization.

540750384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5255 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 540750384 is about 23254.0401650982. The cubic root of 540750384 is about 814.7023058683.

The spelling of 540750384 in words is "five hundred forty million, seven hundred fifty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 251 432 502 753 1004 1506 2008 2259 3012 4016 4518 4987 6024 6777 9036 9974 12048 13554 14961 18072 19948 27108 29922 36144 39896 44883 54216 59844 79792 89766 108432 119688 134649 179532 239376 269298 359064 538596 718128 1077192 1251737 2154384 2503474 3755211 5006948 7510422 10013896 11265633 15020844 20027792 22531266 30041688 33796899 45062532 60083376 67593798 90125064 135187596 180250128 270375192 540750384