Search a number
BaseRepresentation
bin111101010000
312101012
4331100
5111140
630052
714300
oct7520
95335
103920
112a44
122328
131a27
141600
151265
hexf50

3920 has 30 divisors (see below), whose sum is σ = 10602. Its totient is φ = 1344.

The previous prime is 3919. The next prime is 3923. The reversal of 3920 is 293.

It is a happy number.

3920 is nontrivially palindromic in base 9.

3920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3920 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 3136 + 784 = 56^2 + 28^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 4, base 8 and base 16.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 3895 and 3904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3923) 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, 557 + ... + 563.

23920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5301).

3920 is an abundant number, since it is smaller than the sum of its proper divisors (6682).

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

3920 is a wasteful number, since it uses less digits than its factorization.

3920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 3920 is about 62.6099033700. The cubic root of 3920 is about 15.7674703262.

It can be divided in two parts, 39 and 20, that multiplied together give a triangular number (780 = T39).

The spelling of 3920 in words is "three thousand, nine hundred twenty".