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20683820 = 2253173457
BaseRepresentation
bin100111011100…
…1110000101100
31102220211212102
41032321300230
520243340240
62015154232
7340544453
oct116716054
942824772
1020683820
1110748073
126b15978
134392761
142a65b9a
151c38815
hex13b9c2c

20683820 has 48 divisors (see below), whose sum is σ = 45550848. Its totient is φ = 7879680.

The previous prime is 20683813. The next prime is 20683823. The reversal of 20683820 is 2838602.

It is not an unprimeable number, because it can be changed into a prime (20683823) 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 15 ways as a sum of consecutive naturals, for example, 45032 + ... + 45488.

It is an arithmetic number, because the mean of its divisors is an integer number (948976).

Almost surely, 220683820 is an apocalyptic number.

20683820 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 20683820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22775424).

20683820 is an abundant number, since it is smaller than the sum of its proper divisors (24867028).

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

20683820 is a wasteful number, since it uses less digits than its factorization.

20683820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 20683820 is about 4547.9467894864. The cubic root of 20683820 is about 274.5007802429.

The spelling of 20683820 in words is "twenty million, six hundred eighty-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 73 124 146 155 292 310 365 457 620 730 914 1460 1828 2263 2285 4526 4570 9052 9140 11315 14167 22630 28334 33361 45260 56668 66722 70835 133444 141670 166805 283340 333610 667220 1034191 2068382 4136764 5170955 10341910 20683820