Search a number
-
+
5490 = 232561

5490 has 24 divisors (see below), whose sum is σ = 14508. Its totient is φ = 1440.

The previous prime is 5483. The next prime is 5501. The reversal of 5490 is 945.

5490 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 4761 + 729 = 69^2 + 27^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

5490 is an undulating number in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5490.

It is an unprimeable number.

5490 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 60 + ... + 120.

25490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254).

5490 is an abundant number, since it is smaller than the sum of its proper divisors (9018).

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

5490 is a wasteful number, since it uses less digits than its factorization.

5490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5490 is about 74.0945342114. The cubic root of 5490 is about 17.6410371612.

It can be divided in two parts, 54 and 90, that added together give a square (144 = 122).

The spelling of 5490 in words is "five thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490