Search a number
-
+
20741341140 = 22345132933961
BaseRepresentation
bin10011010100010001…
…111011111111010100
31222112111111022010000
4103110101323333110
5314434240404030
613310050531300
71332663330222
oct232421737724
958474438100
1020741341140
118883a45653
12402a296b30
131c57160130
14100a941b12
15815da7860
hex4d447bfd4

20741341140 has 240 divisors, whose sum is σ = 72489851280. Its totient is φ = 4929361920.

The previous prime is 20741341139. The next prime is 20741341141. The reversal of 20741341140 is 4114314702.

20741341140 is a `hidden beast` number, since 207 + 4 + 1 + 3 + 411 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (20741341139) and next prime (20741341141).

It can be written as a sum of positive squares in 8 ways, for example, as 5396077764 + 15345263376 = 73458^2 + 123876^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20741341141) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 593760 + ... + 627720.

It is an arithmetic number, because the mean of its divisors is an integer number (302041047).

Almost surely, 220741341140 is an apocalyptic number.

20741341140 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 20741341140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36244925640).

20741341140 is an abundant number, since it is smaller than the sum of its proper divisors (51748510140).

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

20741341140 is a wasteful number, since it uses less digits than its factorization.

20741341140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34024 (or 34013 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 20741341140 its reverse (4114314702), we get a palindrome (24855655842).

The spelling of 20741341140 in words is "twenty billion, seven hundred forty-one million, three hundred forty-one thousand, one hundred forty".