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540205824 = 283703393
BaseRepresentation
bin100000001100101…
…110001100000000
31101122111022002010
4200030232030000
52101243041244
6125334252520
716246450044
oct4014561400
91348438063
10540205824
11257a286a4
12130ab7140
1387bc1522
1451a60024
153265aeb9
hex2032e300

540205824 has 36 divisors (see below), whose sum is σ = 1437737336. Its totient is φ = 180068352.

The previous prime is 540205817. The next prime is 540205859. The reversal of 540205824 is 428502045.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 540205791 and 540205800.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 350929 + ... + 352464.

Almost surely, 2540205824 is an apocalyptic number.

It is an amenable number.

540205824 is an abundant number, since it is smaller than the sum of its proper divisors (897531512).

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

540205824 is an equidigital number, since it uses as much as digits as its factorization.

540205824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703412 (or 703398 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 540205824 is about 23242.3282826829. The cubic root of 540205824 is about 814.4287333717.

Adding to 540205824 its reverse (428502045), we get a palindrome (968707869).

The spelling of 540205824 in words is "five hundred forty million, two hundred five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 703393 1406786 2110179 2813572 4220358 5627144 8440716 11254288 16881432 22508576 33762864 45017152 67525728 90034304 135051456 180068608 270102912 540205824