Search a number
-
+
500128000 = 285315629
BaseRepresentation
bin11101110011110…
…101100100000000
31021212002010122021
4131303311210000
52011013044000
6121343251224
715252006061
oct3563654400
91255063567
10500128000
11237344629
1211b5a9b14
137c7cb438
144a5ca568
152dd9111a
hex1dcf5900

500128000 has 72 divisors (see below), whose sum is σ = 1245961080. Its totient is φ = 200038400.

The previous prime is 500127973. The next prime is 500128009. The reversal of 500128000 is 821005.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13307904 + 486820096 = 3648^2 + 22064^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500128009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24186 + ... + 39814.

It is an arithmetic number, because the mean of its divisors is an integer number (17305015).

Almost surely, 2500128000 is an apocalyptic number.

500128000 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 500128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622980540).

500128000 is an abundant number, since it is smaller than the sum of its proper divisors (745833080).

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

500128000 is an equidigital number, since it uses as much as digits as its factorization.

500128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15660 (or 15636 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 500128000 is about 22363.5417588539. The cubic root of 500128000 is about 793.7682493169.

Adding to 500128000 its reverse (821005), we get a palindrome (500949005).

It can be divided in two parts, 500 and 128000, that multiplied together give a 6-th power (64000000 = 206).

The spelling of 500128000 in words is "five hundred million, one hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 15629 16000 31258 32000 62516 78145 125032 156290 250064 312580 390725 500128 625160 781450 1000256 1250320 1562900 1953625 2000512 2500640 3125800 3907250 4001024 5001280 6251600 7814500 10002560 12503200 15629000 20005120 25006400 31258000 50012800 62516000 100025600 125032000 250064000 500128000