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20369800 = 23521147197
BaseRepresentation
bin100110110110…
…1000110001000
31102022220010001
41031231012020
520203313200
62004332344
7335066113
oct115550610
942286101
1020369800
1110553150
1269a40b4
1342b2849
1429c357a
151bc576a
hex136d188

20369800 has 96 divisors (see below), whose sum is σ = 53032320. Its totient is φ = 7212800.

The previous prime is 20369773. The next prime is 20369801. The reversal of 20369800 is 896302.

It is not an unprimeable number, because it can be changed into a prime (20369801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 103302 + ... + 103498.

It is an arithmetic number, because the mean of its divisors is an integer number (552420).

Almost surely, 220369800 is an apocalyptic number.

20369800 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 20369800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26516160).

20369800 is an abundant number, since it is smaller than the sum of its proper divisors (32662520).

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

20369800 is a wasteful number, since it uses less digits than its factorization.

20369800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 20369800 is about 4513.2914818345. The cubic root of 20369800 is about 273.1045411769.

The spelling of 20369800 in words is "twenty million, three hundred sixty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 188 197 200 220 235 275 376 394 440 470 517 550 788 940 985 1034 1100 1175 1576 1880 1970 2068 2167 2200 2350 2585 3940 4136 4334 4700 4925 5170 7880 8668 9259 9400 9850 10340 10835 12925 17336 18518 19700 20680 21670 25850 37036 39400 43340 46295 51700 54175 74072 86680 92590 101849 103400 108350 185180 203698 216700 231475 370360 407396 433400 462950 509245 814792 925900 1018490 1851800 2036980 2546225 4073960 5092450 10184900 20369800