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2590 = 25737
BaseRepresentation
bin101000011110
310112221
4220132
540330
615554
710360
oct5036
93487
102590
111a45
1215ba
131243
14d30
15b7a
hexa1e

2590 has 16 divisors (see below), whose sum is σ = 5472. Its totient is φ = 864.

The previous prime is 2579. The next prime is 2591. The reversal of 2590 is 952.

Subtracting from 2590 its product of nonzero digits (90), we obtain a square (2500 = 502).

2590 = T4 + T5 + ... + T24.

2590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2591) by changing a digit.

2590 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52 + ... + 88.

It is an arithmetic number, because the mean of its divisors is an integer number (342).

2590 is an abundant number, since it is smaller than the sum of its proper divisors (2882).

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 (2736).

2590 is a wasteful number, since it uses less digits than its factorization.

2590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 2590 is about 50.8920426000. The cubic root of 2590 is about 13.7330369329.

The spelling of 2590 in words is "two thousand, five hundred ninety".

Divisors: 1 2 5 7 10 14 35 37 70 74 185 259 370 518 1295 2590