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20631900 = 2235297709
BaseRepresentation
bin100111010110…
…1000101011100
31102211012122110
41032231011130
520240210100
62014114020
7340240212
oct116550534
942735573
1020631900
1110712063
126aab910
134374c33
142a50cb2
151c28250
hex13ad15c

20631900 has 72 divisors (see below), whose sum is σ = 60395440. Its totient is φ = 5437440.

The previous prime is 20631899. The next prime is 20631907. The reversal of 20631900 is 913602.

It is a super-2 number, since 2×206319002 = 851350595220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20631907) 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 23 ways as a sum of consecutive naturals, for example, 28746 + ... + 29454.

Almost surely, 220631900 is an apocalyptic number.

20631900 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 20631900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30197720).

20631900 is an abundant number, since it is smaller than the sum of its proper divisors (39763540).

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

20631900 is a wasteful number, since it uses less digits than its factorization.

20631900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 20631900 is about 4542.2351326192. The cubic root of 20631900 is about 274.2709061636.

The spelling of 20631900 in words is "twenty million, six hundred thirty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 485 582 709 970 1164 1418 1455 1940 2127 2425 2836 2910 3545 4254 4850 5820 7090 7275 8508 9700 10635 14180 14550 17725 21270 29100 35450 42540 53175 68773 70900 106350 137546 206319 212700 275092 343865 412638 687730 825276 1031595 1375460 1719325 2063190 3438650 4126380 5157975 6877300 10315950 20631900