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20426200 = 2352414753
BaseRepresentation
bin100110111101…
…0110111011000
31102102202110221
41031322313120
520212114300
62005445424
7335422414
oct115726730
942382427
1020426200
1110591563
126a10874
134302412
1429d9d44
151bd731a
hex137add8

20426200 has 96 divisors (see below), whose sum is σ = 50621760. Its totient is φ = 7654400.

The previous prime is 20426191. The next prime is 20426201. The reversal of 20426200 is 262402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20426201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385374 + ... + 385426.

It is an arithmetic number, because the mean of its divisors is an integer number (527310).

Almost surely, 220426200 is an apocalyptic number.

20426200 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 20426200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25310880).

20426200 is an abundant number, since it is smaller than the sum of its proper divisors (30195560).

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

20426200 is a wasteful number, since it uses less digits than its factorization.

20426200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 20426200 is about 4519.5353743499. The cubic root of 20426200 is about 273.3563666227.

Adding to 20426200 its reverse (262402), we get a palindrome (20688602).

The spelling of 20426200 in words is "twenty million, four hundred twenty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 47 50 53 82 94 100 106 164 188 200 205 212 235 265 328 376 410 424 470 530 820 940 1025 1060 1175 1325 1640 1880 1927 2050 2120 2173 2350 2491 2650 3854 4100 4346 4700 4982 5300 7708 8200 8692 9400 9635 9964 10600 10865 12455 15416 17384 19270 19928 21730 24910 38540 43460 48175 49820 54325 62275 77080 86920 96350 99640 102131 108650 124550 192700 204262 217300 249100 385400 408524 434600 498200 510655 817048 1021310 2042620 2553275 4085240 5106550 10213100 20426200