5406 has 16 divisors (see below), whose sum is σ = 11664. Its totient is φ = 1664.

The previous prime is 5399. The next prime is 5407. The reversal of 5406 is 6045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5407) 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 7 ways as a sum of consecutive naturals, for example, 76 + ... + 128.

It is an arithmetic number, because the mean of its divisors is an integer number (729).

2^{5406} is an apocalyptic number.

5406 is the 47-th centered pentagonal number.

5406 is an abundant number, since it is smaller than the sum of its proper divisors (6258).

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 (5832).

5406 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (5405) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (75).

5406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5406 is about 73.5255057786. The cubic root of 5406 is about 17.5506018414.

It can be divided in two parts, 540 and 6, that multiplied together give a triangular number (3240 = T_{80}).

The spelling of 5406 in words is "five thousand, four hundred six".

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