Search a number
-
+
20518200 = 23325211399
BaseRepresentation
bin100111001000…
…1010100111000
31102121102200100
41032101110320
520223040300
62011435400
7336254553
oct116212470
942542610
1020518200
111064469a
126a55b60
134335261
142a2169a
151c04700
hex1391538

20518200 has 72 divisors (see below), whose sum is σ = 68913000. Its totient is φ = 5471040.

The previous prime is 20518193. The next prime is 20518217. The reversal of 20518200 is 281502.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 3900 + ... + 7499.

It is an arithmetic number, because the mean of its divisors is an integer number (957125).

Almost surely, 220518200 is an apocalyptic number.

20518200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20518200 is an abundant number, since it is smaller than the sum of its proper divisors (48394800).

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

20518200 is a wasteful number, since it uses less digits than its factorization.

20518200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11421 (or 11409 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 20518200 is about 4529.7019769517. The cubic root of 20518200 is about 273.7661527968.

Adding to 20518200 its reverse (281502), we get a palindrome (20799702).

The spelling of 20518200 in words is "twenty million, five hundred eighteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 11399 22798 34197 45596 56995 68394 91192 102591 113990 136788 170985 205182 227980 273576 284975 341970 410364 455960 512955 569950 683940 820728 854925 1025910 1139900 1367880 1709850 2051820 2279800 2564775 3419700 4103640 5129550 6839400 10259100 20518200