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540573696 = 215331347
BaseRepresentation
bin100000001110001…
…000000000000000
31101200011222201000
4200032020000000
52101341324241
6125350212000
716252541415
oct4016100000
91350158630
10540573696
1125815a023
12131054000
1387cbcac0
1451b1810c
15326ceeb6
hex20388000

540573696 has 256 divisors, whose sum is σ = 1761580800. Its totient is φ = 162791424.

The previous prime is 540573661. The next prime is 540573721. The reversal of 540573696 is 696375045.

It is a tau number, because it is divible by the number of its divisors (256).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11501545 + ... + 11501591.

It is an arithmetic number, because the mean of its divisors is an integer number (6881175).

Almost surely, 2540573696 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 540573696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880790400).

540573696 is an abundant number, since it is smaller than the sum of its proper divisors (1221007104).

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

540573696 is an equidigital number, since it uses as much as digits as its factorization.

540573696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 540573696 is about 23250.2407729468. The cubic root of 540573696 is about 814.6135626414.

The spelling of 540573696 in words is "five hundred forty million, five hundred seventy-three thousand, six hundred ninety-six".