Search a number
-
+
20000442020 = 22513672834057
BaseRepresentation
bin10010101000000111…
…101000011010100100
31220121212100201120212
4102220013220122210
5311430103121040
613104342514552
71305425644406
oct225007503244
956555321525
1020000442020
118533801129
123a62135a58
131b69800ba0
14d7a39cb76
157c0d06d65
hex4a81e86a4

20000442020 has 96 divisors (see below), whose sum is σ = 46080440448. Its totient is φ = 7247066112.

The previous prime is 20000441987. The next prime is 20000442041. The reversal of 20000442020 is 2024400002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20000441986 and 20000442004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4927832 + ... + 4931888.

It is an arithmetic number, because the mean of its divisors is an integer number (480004588).

Almost surely, 220000442020 is an apocalyptic number.

20000442020 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 20000442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23040220224).

20000442020 is an abundant number, since it is smaller than the sum of its proper divisors (26079998428).

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

20000442020 is a wasteful number, since it uses less digits than its factorization.

20000442020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 20000442020 its reverse (2024400002), we get a palindrome (22024842022).

The spelling of 20000442020 in words is "twenty billion, four hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 260 268 283 335 566 670 871 1132 1340 1415 1742 2830 3484 3679 4057 4355 5660 7358 8114 8710 14716 16228 17420 18395 18961 20285 36790 37922 40570 52741 73580 75844 81140 94805 105482 189610 210964 246493 263705 271819 379220 492986 527410 543638 985972 1054820 1087276 1148131 1232465 1359095 2296262 2464930 2718190 3533647 4592524 4929860 5436380 5740655 7067294 11481310 14134588 14925703 17668235 22962620 29851406 35336470 59702812 70672940 74628515 76924777 149257030 153849554 298514060 307699108 384623885 769247770 1000022101 1538495540 2000044202 4000088404 5000110505 10000221010 20000442020