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BaseRepresentation
bin100110001000
310100101
4212020
534230
615144
710054
oct4610
93311
102440
111919
1214b4
131159
14c64
15aca
hex988

2440 has 16 divisors (see below), whose sum is σ = 5580. Its totient is φ = 960.

The previous prime is 2437. The next prime is 2441. The reversal of 2440 is 442.

Adding to 2440 its reverse (442), we get a palindrome (2882).

It can be divided in two parts, 24 and 40, that added together give a 6-th power (64 = 26).

2440 = 52 + 62 + ... + 192.

2440 is nontrivially palindromic in base 3 and base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 2116 + 324 = 46^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

2440 is an undulating number in base 11 and base 15.

It is a plaindrome in base 13.

It is a nialpdrome in base 9, base 14 and base 16.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (2441) 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, 10 + ... + 70.

2440 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 2440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790).

2440 is an abundant number, since it is smaller than the sum of its proper divisors (3140).

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

2440 is a wasteful number, since it uses less digits than its factorization.

2440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2440 is about 49.3963561409. The cubic root of 2440 is about 13.4626309945.

The spelling of 2440 in words is "two thousand, four hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440