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540532520 = 235111924183
BaseRepresentation
bin100000001101111…
…101111100101000
31101200002220012222
4200031331330220
52101334020040
6125345253212
716252310363
oct4015757450
91350086188
10540532520
112581310a0
12131034208
1387ca7138
1451b070da
15326c2bb5
hex2037df28

540532520 has 192 divisors, whose sum is σ = 1451701440. Its totient is φ = 179481600.

The previous prime is 540532481. The next prime is 540532543. The reversal of 540532520 is 25235045.

540532520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 540532520.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6512399 + ... + 6512481.

It is an arithmetic number, because the mean of its divisors is an integer number (7560945).

Almost surely, 2540532520 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 540532520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725850720).

540532520 is an abundant number, since it is smaller than the sum of its proper divisors (911168920).

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

540532520 is a wasteful number, since it uses less digits than its factorization.

540532520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 540532520 is about 23249.3552598776. The cubic root of 540532520 is about 814.5928788259.

Adding to 540532520 its reverse (25235045), we get a palindrome (565767565).

The spelling of 540532520 in words is "five hundred forty million, five hundred thirty-two thousand, five hundred twenty".