Search a number
-
+
20420404040 = 2351657308093
BaseRepresentation
bin10011000001001001…
…101010001101001000
31221201010121000011202
4103001021222031020
5313310110412130
613214144043332
71322015366441
oct230111521510
957633530152
1020420404040
118729870883
123b5a903548
131c0581151a
14dba07c2c8
157e7b10145
hex4c126a348

20420404040 has 32 divisors (see below), whose sum is σ = 45973786680. Its totient is φ = 8163205632.

The previous prime is 20420404021. The next prime is 20420404049. The reversal of 20420404040 is 4040402402.

It can be written as a sum of positive squares in 4 ways, for example, as 15088191556 + 5332212484 = 122834^2 + 73022^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20420404049) 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 7 ways as a sum of consecutive naturals, for example, 87767 + ... + 220326.

Almost surely, 220420404040 is an apocalyptic number.

20420404040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20420404040 is an abundant number, since it is smaller than the sum of its proper divisors (25553382640).

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

20420404040 is a wasteful number, since it uses less digits than its factorization.

20420404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309761 (or 309757 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 20420404040 its reverse (4040402402), we get a palindrome (24460806442).

The spelling of 20420404040 in words is "twenty billion, four hundred twenty million, four hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1657 3314 6628 8285 13256 16570 33140 66280 308093 616186 1232372 1540465 2464744 3080930 6161860 12323720 510510101 1021020202 2042040404 2552550505 4084080808 5105101010 10210202020 20420404040