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5920 = 25537
BaseRepresentation
bin1011100100000
322010021
41130200
5142140
643224
723155
oct13440
98107
105920
1144a2
123514
132905
14222c
151b4a
hex1720

5920 has 24 divisors (see below), whose sum is σ = 14364. Its totient is φ = 2304.

The previous prime is 5903. The next prime is 5923. The reversal of 5920 is 295.

Subtracting from 5920 its reverse (295), we obtain a square (5625 = 752).

It can be written as a sum of positive squares in 2 ways, for example, as 5776 + 144 = 76^2 + 12^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 5894 and 5903.

It is not an unprimeable number, because it can be changed into a prime (5923) by changing a digit.

5920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 142 + ... + 178.

25920 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 5920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7182).

5920 is an abundant number, since it is smaller than the sum of its proper divisors (8444).

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

5920 is a wasteful number, since it uses less digits than its factorization.

5920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 44 counting only the distinct ones).

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

The square root of 5920 is about 76.9415362467. The cubic root of 5920 is about 18.0900833930.

The spelling of 5920 in words is "five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920