Search a number
-
+
20740212000 = 25345364013
BaseRepresentation
bin10011010100001101…
…101000010100100000
31222112102100221020000
4103110031220110200
5314433443241000
613310010420000
71332650615244
oct232415502440
958472327200
1020740212000
118883344282
124029a31600
131c56b561c1
14100a72a424
15815c33000
hex4d4368520

20740212000 has 240 divisors, whose sum is σ = 76124680632. Its totient is φ = 5530636800.

The previous prime is 20740211993. The next prime is 20740212013. The reversal of 20740212000 is 21204702.

It can be written as a sum of positive squares in 4 ways, for example, as 13866475536 + 6873736464 = 117756^2 + 82908^2 .

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 291994 + ... + 356006.

Almost surely, 220740212000 is an apocalyptic number.

20740212000 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 20740212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38062340316).

20740212000 is an abundant number, since it is smaller than the sum of its proper divisors (55384468632).

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

20740212000 is an equidigital number, since it uses as much as digits as its factorization.

20740212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64050 (or 64023 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 20740212000 its reverse (21204702), we get a palindrome (20761416702).

The spelling of 20740212000 in words is "twenty billion, seven hundred forty million, two hundred twelve thousand".