Search a number
-
+
20420444420 = 2254127898929
BaseRepresentation
bin10011000001001001…
…110100000100000100
31221201010200001120022
4103001021310010010
5313310113210140
613214144554312
71322015625245
oct230111640404
957633601508
1020420444420
118729899152
123b5a922998
131c05826a0c
14dba08cccc
157e7b1c0b5
hex4c1274104

20420444420 has 48 divisors (see below), whose sum is σ = 43949530800. Its totient is φ = 7965204480.

The previous prime is 20420444419. The next prime is 20420444437. The reversal of 20420444420 is 2444402402.

It can be written as a sum of positive squares in 8 ways, for example, as 6194634436 + 14225809984 = 78706^2 + 119272^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20420444420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2282516 + ... + 2291444.

It is an arithmetic number, because the mean of its divisors is an integer number (915615225).

Almost surely, 220420444420 is an apocalyptic number.

20420444420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20420444420 is an abundant number, since it is smaller than the sum of its proper divisors (23529086380).

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

20420444420 is a wasteful number, since it uses less digits than its factorization.

20420444420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11768 (or 11766 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 20420444420 its reverse (2444402402), we get a palindrome (22864846822).

The spelling of 20420444420 in words is "twenty billion, four hundred twenty million, four hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 2789 5578 8929 11156 13945 17858 27890 35716 44645 55780 89290 114349 178580 228698 366089 457396 571745 732178 1143490 1464356 1830445 2286980 3660890 7321780 24902981 49805962 99611924 124514905 249029810 498059620 1021022221 2042044442 4084088884 5105111105 10210222210 20420444420