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20995740 = 2233559659
BaseRepresentation
bin101000000010…
…1111010011100
31110111200202000
41100011322130
520333330430
62030002300
7343314033
oct120057234
943450660
1020995740
1110940457
127046390
13447171c
142b0771a
151c9ae60
hex1405e9c

20995740 has 96 divisors (see below), whose sum is σ = 66528000. Its totient is φ = 5495616.

The previous prime is 20995721. The next prime is 20995771. The reversal of 20995740 is 4759902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20995695 and 20995704.

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 31 ways as a sum of consecutive naturals, for example, 31531 + ... + 32189.

It is an arithmetic number, because the mean of its divisors is an integer number (693000).

Almost surely, 220995740 is an apocalyptic number.

20995740 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 20995740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33264000).

20995740 is an abundant number, since it is smaller than the sum of its proper divisors (45532260).

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

20995740 is a wasteful number, since it uses less digits than its factorization.

20995740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 20995740 is about 4582.1108672750. The cubic root of 20995740 is about 275.8737607940.

Multiplying 20995740 by its sum of digits (36), we get a triangular number (755846640 = T38880).

The spelling of 20995740 in words is "twenty million, nine hundred ninety-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 90 108 118 135 177 180 236 270 295 354 531 540 590 659 708 885 1062 1180 1318 1593 1770 1977 2124 2636 2655 3186 3295 3540 3954 5310 5931 6372 6590 7908 7965 9885 10620 11862 13180 15930 17793 19770 23724 29655 31860 35586 38881 39540 59310 71172 77762 88965 116643 118620 155524 177930 194405 233286 349929 355860 388810 466572 583215 699858 777620 1049787 1166430 1399716 1749645 2099574 2332860 3499290 4199148 5248935 6998580 10497870 20995740