Search a number
-
+
5280000 = 2835411
BaseRepresentation
bin10100001001000100000000
3100221020210120
4110021010000
52322430000
6305100240
762610405
oct24110400
910836716
105280000
112a86a40
121927680
13112b37b
149b62ac
156e46a0
hex509100

5280000 has 180 divisors, whose sum is σ = 19156368. Its totient is φ = 1280000.

The previous prime is 5279999. The next prime is 5280007. The reversal of 5280000 is 825.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (5280007) 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 19 ways as a sum of consecutive naturals, for example, 479995 + ... + 480005.

Almost surely, 25280000 is an apocalyptic number.

5280000 is a gapful number since it is divisible by the number (50) 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 5280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9578184).

5280000 is an abundant number, since it is smaller than the sum of its proper divisors (13876368).

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

5280000 is an equidigital number, since it uses as much as digits as its factorization.

5280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 5280000 is about 2297.8250586152. The cubic root of 5280000 is about 174.1317538235.

Adding to 5280000 its reverse (825), we get a palindrome (5280825).

Multiplying 5280000 by its reverse (825), we get a square (4356000000 = 660002).

5280000 divided by its reverse (825) gives a square (6400 = 802).

The spelling of 5280000 in words is "five million, two hundred eighty thousand".