Search a number
-
+
480240300 = 223524333697
BaseRepresentation
bin11100100111111…
…110001010101100
31020110122201211210
4130213332022230
51440420142200
6115353114420
714620655331
oct3447761254
91213581753
10480240300
112270a0711
121149b8a10
1378657177
1447ad0988
152c263650
hex1c9fe2ac

480240300 has 72 divisors (see below), whose sum is σ = 1393080976. Its totient is φ = 127733760.

The previous prime is 480240283. The next prime is 480240301. The reversal of 480240300 is 3042084.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480240301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128052 + ... + 131748.

Almost surely, 2480240300 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 480240300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696540488).

480240300 is an abundant number, since it is smaller than the sum of its proper divisors (912840676).

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

480240300 is a wasteful number, since it uses less digits than its factorization.

480240300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 480240300 is about 21914.3856861195. The cubic root of 480240300 is about 783.1041651437.

Adding to 480240300 its reverse (3042084), we get a palindrome (483282384).

The spelling of 480240300 in words is "four hundred eighty million, two hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 433 866 1299 1732 2165 2598 3697 4330 5196 6495 7394 8660 10825 11091 12990 14788 18485 21650 22182 25980 32475 36970 43300 44364 55455 64950 73940 92425 110910 129900 184850 221820 277275 369700 554550 1109100 1600801 3201602 4802403 6403204 8004005 9604806 16008010 19209612 24012015 32016020 40020025 48024030 80040050 96048060 120060075 160080100 240120150 480240300