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20420024440 = 2355319514937
BaseRepresentation
bin10011000001001000…
…001101100001111000
31221201002212201110111
4103001020031201320
5313310011240230
613214131554104
71322012225644
oct230110154170
957632781414
1020420024440
118729631662
123b5a75b934
131c0570a7ca
14db9dbdc24
157e7a8792a
hex4c120d878

20420024440 has 64 divisors (see below), whose sum is σ = 46845423360. Its totient is φ = 8008166400.

The previous prime is 20420024399. The next prime is 20420024447. The reversal of 20420024440 is 4442002402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20420024447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4133652 + ... + 4138588.

It is an arithmetic number, because the mean of its divisors is an integer number (731959740).

Almost surely, 220420024440 is an apocalyptic number.

20420024440 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 20420024440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23422711680).

20420024440 is an abundant number, since it is smaller than the sum of its proper divisors (26425398920).

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

20420024440 is a wasteful number, since it uses less digits than its factorization.

20420024440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6952 (or 6948 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 20420024440 its reverse (4442002402), we get a palindrome (24862026842).

The spelling of 20420024440 in words is "twenty billion, four hundred twenty million, twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 1951 2120 3902 4937 7804 9755 9874 15608 19510 19748 24685 39020 39496 49370 78040 98740 103403 197480 206806 261661 413612 517015 523322 827224 1034030 1046644 1308305 2068060 2093288 2616610 4136120 5233220 9632087 10466440 19264174 38528348 48160435 77056696 96320870 192641740 385283480 510500611 1021001222 2042002444 2552503055 4084004888 5105006110 10210012220 20420024440