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2420 = 225112
BaseRepresentation
bin100101110100
310022122
4211310
534140
615112
710025
oct4564
93278
102420
111900
121498
131142
14c4c
15ab5
hex974

2420 has 18 divisors (see below), whose sum is σ = 5586. Its totient is φ = 880.

The previous prime is 2417. The next prime is 2423. The reversal of 2420 is 242.

Adding to 2420 its reverse (242), we get a palindrome (2662).

It can be divided in two parts, 24 and 20, that added together give a palindrome (44).

2420 is nontrivially palindromic in base 14.

2420 is digitally balanced in base 2, 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 (2417) and next prime (2423).

It can be written as a sum of positive squares in only one way, i.e., 1936 + 484 = 44^2 + 22^2 .

It is an Ulam number.

2420 is an undulating number in base 14.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2398 and 2407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 215 + ... + 225.

2420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793).

2420 is an abundant number, since it is smaller than the sum of its proper divisors (3166).

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

2420 is a wasteful number, since it uses less digits than its factorization.

2420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 2420 is about 49.1934955050. The cubic root of 2420 is about 13.4257468892.

The spelling of 2420 in words is "two thousand, four hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420