4540 has 12 divisors (see below), whose sum is σ = 9576. Its totient is φ = 1808.

The previous prime is 4523. The next prime is 4547. The reversal of 4540 is 454.

4540 = T_{25} + T_{26} + ... +
T_{34}.

It is a super-2 number, since 2×4540^{2} = 41223200, which contains 22 as substring.

It is a plaindrome in base 11 and base 16.

It is a self number, because there is not a number *n* which added to its sum of digits gives 4540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94 + ... + 133.

It is an arithmetic number, because the mean of its divisors is an integer number (798).

2^{4540} is an apocalyptic number.

It is an amenable number.

4540 is an abundant number, since it is smaller than the sum of its proper divisors (5036).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788).

4540 is a wasteful number, since it uses less digits than its factorization.

4540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 4540 is about 67.3795221117. The cubic root of 4540 is about 16.5584094562.

Adding to 4540 its reverse (454), we get a palindrome (4994).

The spelling of 4540 in words is "four thousand, five hundred forty".

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