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540360520 = 23572776967
BaseRepresentation
bin100000001101010…
…011111101001000
31101122210011021121
4200031103331020
52101313014040
6125341445024
716250663050
oct4015237510
91348704247
10540360520
11258023947
12130b70774
1387c46a6b
1451aa0560
153268bc4a
hex20353f48

540360520 has 64 divisors (see below), whose sum is σ = 1394714880. Its totient is φ = 184571136.

The previous prime is 540360511. The next prime is 540360547. The reversal of 540360520 is 25063045.

It is a super-3 number, since 3×5403605203 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74077 + ... + 81043.

It is an arithmetic number, because the mean of its divisors is an integer number (21792420).

Almost surely, 2540360520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540360520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697357440).

540360520 is an abundant number, since it is smaller than the sum of its proper divisors (854354360).

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

540360520 is a wasteful number, since it uses less digits than its factorization.

540360520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7262 (or 7258 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 540360520 is about 23245.6559382608. The cubic root of 540360520 is about 814.5064672264.

The spelling of 540360520 in words is "five hundred forty million, three hundred sixty thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 277 280 554 1108 1385 1939 2216 2770 3878 5540 6967 7756 9695 11080 13934 15512 19390 27868 34835 38780 48769 55736 69670 77560 97538 139340 195076 243845 278680 390152 487690 975380 1929859 1950760 3859718 7719436 9649295 13509013 15438872 19298590 27018026 38597180 54036052 67545065 77194360 108072104 135090130 270180260 540360520