5400 has 48 divisors (see below), whose sum is σ = 18600. Its totient is φ = 1440.

The previous prime is 5399. The next prime is 5407. The reversal of 5400 is 45.

5400 = T_{7} + T_{8} + ... +
T_{31}.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 6 and base 10.

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 (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1078 + ... + 1082.

2^{5400} is an apocalyptic number.

5400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9300).

5400 is an abundant number, since it is smaller than the sum of its proper divisors (13200).

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

5400 is a wasteful number, since it uses less digits than its factorization.

5400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 5400 is about 73.4846922835. The cubic root of 5400 is about 17.5441064293.

Adding to 5400 its reverse (45), we get a palindrome (5445).

5400 divided by its reverse (45) gives a triangular number (120 = T_{15}).

The spelling of 5400 in words is "five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400

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