Search a number
-
+
5080320 = 2834572
BaseRepresentation
bin10011011000010100000000
3100120002220000
4103120110000
52300032240
6300520000
761116300
oct23302400
910502800
105080320
11295aa13
121850000
13108b50b
14963600
156a5430
hex4d8500

5080320 has 270 divisors, whose sum is σ = 21146202. Its totient is φ = 1161216.

The previous prime is 5080301. The next prime is 5080333. The reversal of 5080320 is 230805.

It can be written as a sum of positive squares in only one way, i.e., 4064256 + 1016064 = 2016^2 + 1008^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5080293 and 5080302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 725757 + ... + 725763.

Almost surely, 25080320 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 5080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10573101).

5080320 is an abundant number, since it is smaller than the sum of its proper divisors (16065882).

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

5080320 is an equidigital number, since it uses as much as digits as its factorization.

5080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5080320 is about 2253.9565213198. The cubic root of 5080320 is about 171.9083701598.

The spelling of 5080320 in words is "five million, eighty thousand, three hundred twenty".