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424202020 = 22511171011123
BaseRepresentation
bin11001010010001…
…100111100100100
31002120012200202221
4121102030330210
51332043431040
6110032042124
713340441404
oct3122147444
91076180687
10424202020
111a84a6290
12ba093344
1369b66518
14404a4804
152739474a
hex1948cf24

424202020 has 96 divisors (see below), whose sum is σ = 1040086656. Its totient is φ = 143616000.

The previous prime is 424201997. The next prime is 424202029. The reversal of 424202020 is 20202424.

It is a junction number, because it is equal to n+sod(n) for n = 424201985 and 424202003.

It is not an unprimeable number, because it can be changed into a prime (424202029) 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 31 ways as a sum of consecutive naturals, for example, 377179 + ... + 378301.

It is an arithmetic number, because the mean of its divisors is an integer number (10834236).

Almost surely, 2424202020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520043328).

424202020 is an abundant number, since it is smaller than the sum of its proper divisors (615884636).

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

424202020 is a wasteful number, since it uses less digits than its factorization.

424202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 424202020 is about 20596.1651770421. The cubic root of 424202020 is about 751.3764471272.

Adding to 424202020 its reverse (20202424), we get a palindrome (444404444).

The spelling of 424202020 in words is "four hundred twenty-four million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 101 110 170 187 202 220 340 374 404 505 748 935 1010 1111 1123 1717 1870 2020 2222 2246 3434 3740 4444 4492 5555 5615 6868 8585 11110 11230 12353 17170 18887 19091 22220 22460 24706 34340 37774 38182 49412 61765 75548 76364 94435 95455 113423 123530 188870 190910 210001 226846 247060 377740 381820 420002 453692 567115 840004 1050005 1134230 1247653 1928191 2100010 2268460 2495306 3856382 4200020 4990612 6238265 7712764 9640955 12476530 19281910 21210101 24953060 38563820 42420202 84840404 106050505 212101010 424202020