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4720 = 24559

4720 has 20 divisors (see below), whose sum is σ = 11160. Its totient is φ = 1856.

The previous prime is 4703. The next prime is 4721. The reversal of 4720 is 274.

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 4720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51 + ... + 109.

It is an arithmetic number, because the mean of its divisors is an integer number (558).

24720 is an apocalyptic number.

4720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4720 is the 40-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580).

4720 is an abundant number, since it is smaller than the sum of its proper divisors (6440).

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

4720 is a wasteful number, since it uses less digits than its factorization.

4720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 66 counting only the distinct ones).

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

The square root of 4720 is about 68.7022561493. The cubic root of 4720 is about 16.7744130531.

Subtracting from 4720 its product of nonzero digits (56), we obtain a palindrome (4664).

Adding to 4720 its reverse (274), we get a palindrome (4994).

The spelling of 4720 in words is "four thousand, seven hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 4720