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2740 = 225137
BaseRepresentation
bin101010110100
310202111
4222310
541430
620404
710663
oct5264
93674
102740
112071
121704
13132a
14dda
15c2a
hexab4

2740 has 12 divisors (see below), whose sum is σ = 5796. Its totient is φ = 1088.

The previous prime is 2731. The next prime is 2741. The reversal of 2740 is 472.

2740 = T35 + T36 + ... + T38.

2740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1296 + 1444 = 36^2 + 38^2 .

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 2740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2741) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49 + ... + 88.

It is an arithmetic number, because the mean of its divisors is an integer number (483).

2740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2740 is an abundant number, since it is smaller than the sum of its proper divisors (3056).

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 (2898).

2740 is a wasteful number, since it uses less digits than its factorization.

2740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 2740 is about 52.3450093132. The cubic root of 2740 is about 13.9931939707.

The spelling of 2740 in words is "two thousand, seven hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 137 274 548 685 1370 2740