3090 has 16 divisors (see below), whose sum is σ = 7488. Its totient is φ = 816.

The previous prime is 3089. The next prime is 3109. The reversal of 3090 is 903.

It is an Ulam number.

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

3090 is a modest number, since divided by 90 gives 30 as remainder.

It is a plaindrome in base 11 and base 14.

It is a nialpdrome in base 5 and base 15.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22 + ... + 81.

It is an arithmetic number, because the mean of its divisors is an integer number (468).

3090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3090 is an abundant number, since it is smaller than the sum of its proper divisors (4398).

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 (3744).

3090 is a wasteful number, since it uses less digits than its factorization.

3090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 3090 is about 55.5877684387. The cubic root of 3090 is about 14.5653019776.

Adding to 3090 its reverse (903), we get a palindrome (3993).

Subtracting from 3090 its reverse (903), we obtain a 7-th power (2187 = 3^{7}).

It can be divided in two parts, 30 and 90, that added together give a triangular number (120 = T_{15}).

The spelling of 3090 in words is "three thousand, ninety".

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