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20423200 = 255272521
BaseRepresentation
bin100110111101…
…0001000100000
31102102121100211
41031322020200
520212020300
62005423504
7335410600
oct115721040
942377324
1020423200
111058a286
126a0ab94
134300c45
1429d8c00
151bd64ba
hex137a220

20423200 has 108 divisors (see below), whose sum is σ = 58109562. Its totient is φ = 6988800.

The previous prime is 20423177. The next prime is 20423201. The reversal of 20423200 is 232402.

20423200 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 3 ways, for example, as 13046544 + 7376656 = 3612^2 + 2716^2 .

It is not an unprimeable number, because it can be changed into a prime (20423201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38940 + ... + 39460.

Almost surely, 220423200 is an apocalyptic number.

20423200 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 20423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29054781).

20423200 is an abundant number, since it is smaller than the sum of its proper divisors (37686362).

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

20423200 is a wasteful number, since it uses less digits than its factorization.

20423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 20423200 is about 4519.2034696393. The cubic root of 20423200 is about 273.3429833330.

Adding to 20423200 its reverse (232402), we get a palindrome (20655602).

The spelling of 20423200 in words is "twenty million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 140 160 175 196 200 224 245 280 350 392 400 490 521 560 700 784 800 980 1042 1120 1225 1400 1568 1960 2084 2450 2605 2800 3647 3920 4168 4900 5210 5600 7294 7840 8336 9800 10420 13025 14588 16672 18235 19600 20840 25529 26050 29176 36470 39200 41680 51058 52100 58352 72940 83360 91175 102116 104200 116704 127645 145880 182350 204232 208400 255290 291760 364700 408464 416800 510580 583520 638225 729400 816928 1021160 1276450 1458800 2042320 2552900 2917600 4084640 5105800 10211600 20423200