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540576 = 25321877
BaseRepresentation
bin10000011111110100000
31000110112100
42003332200
5114244301
615330400
74411011
oct2037640
91013470
10540576
1133a163
12220a00
1315c08a
14101008
15aa286
hex83fa0

540576 has 36 divisors (see below), whose sum is σ = 1538082. Its totient is φ = 180096.

The previous prime is 540559. The next prime is 540577. The reversal of 540576 is 675045.

It can be written as a sum of positive squares in only one way, i.e., 435600 + 104976 = 660^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (540577) by changing a digit.

540576 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 651 + ... + 1226.

2540576 is an apocalyptic number.

It is an amenable number.

540576 is an abundant number, since it is smaller than the sum of its proper divisors (997506).

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

540576 is a wasteful number, since it uses less digits than its factorization.

540576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 540576 is about 735.2387367379. The cubic root of 540576 is about 81.4614719972.

The spelling of 540576 in words is "five hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1877 3754 5631 7508 11262 15016 16893 22524 30032 33786 45048 60064 67572 90096 135144 180192 270288 540576