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2790 = 232531
BaseRepresentation
bin101011100110
310211100
4223212
542130
620530
711064
oct5346
93740
102790
112107
121746
131368
141034
15c60
hexae6

2790 has 24 divisors (see below), whose sum is σ = 7488. Its totient is φ = 720.

The previous prime is 2789. The next prime is 2791. The reversal of 2790 is 972.

Subtracting from 2790 its sum of digits (18), we obtain a palindrome (2772).

Adding to 2790 its product of nonzero digits (126), we get a square (2916 = 542).

2790 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2789) and next prime (2791).

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

2790 is strictly pandigital in base 5.

It is a Curzon number.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2791) 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 11 ways as a sum of consecutive naturals, for example, 75 + ... + 105.

It is an arithmetic number, because the mean of its divisors is an integer number (312).

It is a practical number, because each smaller number is the sum of distinct divisors of 2790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744).

2790 is an abundant number, since it is smaller than the sum of its proper divisors (4698).

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

2790 is a wasteful number, since it uses less digits than its factorization.

2790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 2790 is about 52.8204505850. The cubic root of 2790 is about 14.0777981664.

The spelling of 2790 in words is "two thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790