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543059240 = 235311074093
BaseRepresentation
bin100000010111100…
…110110100101000
31101211212021020012
4200113212310220
52103010343430
6125515351052
716312633043
oct4027466450
91354767205
10543059240
112595a7499
12131a52488
1388680239
14521a3c5a
1532a21695
hex205e6d28

543059240 has 64 divisors (see below), whose sum is σ = 1273397760. Its totient is φ = 208200960.

The previous prime is 543059213. The next prime is 543059261. The reversal of 543059240 is 42950345.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 543059197 and 543059206.

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, 130634 + ... + 134726.

It is an arithmetic number, because the mean of its divisors is an integer number (19896840).

Almost surely, 2543059240 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 543059240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636698880).

543059240 is an abundant number, since it is smaller than the sum of its proper divisors (730338520).

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

543059240 is a wasteful number, since it uses less digits than its factorization.

543059240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 543059240 is about 23303.6314766605. The cubic root of 543059240 is about 815.8601780485.

The spelling of 543059240 in words is "five hundred forty-three million, fifty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 107 124 155 214 248 310 428 535 620 856 1070 1240 2140 3317 4093 4280 6634 8186 13268 16372 16585 20465 26536 32744 33170 40930 66340 81860 126883 132680 163720 253766 437951 507532 634415 875902 1015064 1268830 1751804 2189755 2537660 3503608 4379510 5075320 8759020 13576481 17518040 27152962 54305924 67882405 108611848 135764810 271529620 543059240