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20788020 = 223251110499
BaseRepresentation
bin100111101001…
…1001100110100
31110010010210200
41033103030310
520310204040
62021320500
7341460321
oct117231464
943103720
1020788020
1110809390
126b66130
1343cb006
142a91b48
151c59630
hex13d3334

20788020 has 72 divisors (see below), whose sum is σ = 68796000. Its totient is φ = 5039040.

The previous prime is 20788013. The next prime is 20788037. The reversal of 20788020 is 2088702.

It is a congruent number.

It is an unprimeable number.

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, 3270 + ... + 7229.

It is an arithmetic number, because the mean of its divisors is an integer number (955500).

Almost surely, 220788020 is an apocalyptic number.

20788020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20788020 is an abundant number, since it is smaller than the sum of its proper divisors (48007980).

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

20788020 is a wasteful number, since it uses less digits than its factorization.

20788020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10525 (or 10520 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 20788020 is about 4559.3881168420. The cubic root of 20788020 is about 274.9609641562.

The spelling of 20788020 in words is "twenty million, seven hundred eighty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 10499 20998 31497 41996 52495 62994 94491 104990 115489 125988 157485 188982 209980 230978 314970 346467 377964 461956 472455 577445 629940 692934 944910 1039401 1154890 1385868 1732335 1889820 2078802 2309780 3464670 4157604 5197005 6929340 10394010 20788020