Search a number
-
+
264030300720 = 243251749143933
BaseRepresentation
bin1111010111100101101…
…1101010101000110000
3221020111201120222110200
43311321123222220300
513311213224110340
6321143245355200
725034626345404
oct3657133525060
9836451528420
10264030300720
11a1a7a2488aa
1243207268b00
131bb89a49894
14cac9d35104
156d04935330
hex3d796eaa30

264030300720 has 240 divisors, whose sum is σ = 940794240672. Its totient is φ = 66129960960.

The previous prime is 264030300713. The next prime is 264030300811. The reversal of 264030300720 is 27003030462.

264030300720 is a `hidden beast` number, since 264 + 0 + 30 + 300 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5987874 + ... + 6031806.

Almost surely, 2264030300720 is an apocalyptic number.

264030300720 is a gapful number since it is divisible by the number (20) 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 264030300720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470397120336).

264030300720 is an abundant number, since it is smaller than the sum of its proper divisors (676763939952).

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

264030300720 is a wasteful number, since it uses less digits than its factorization.

264030300720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44460 (or 44451 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 264030300720 in words is "two hundred sixty-four billion, thirty million, three hundred thousand, seven hundred twenty".