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20788812 = 22341119307
BaseRepresentation
bin100111101001…
…1011001001100
31110010011220000
41033103121030
520310220222
62021324300
7341462532
oct117233114
943104800
1020788812
1110809a40
126b66690
1343cb495
142a92152
151c599ac
hex13d364c

20788812 has 120 divisors (see below), whose sum is σ = 62610240. Its totient is φ = 5948640.

The previous prime is 20788811. The next prime is 20788813. The reversal of 20788812 is 21888702.

It is an interprime number because it is at equal distance from previous prime (20788811) and next prime (20788813).

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

It is not an unprimeable number, because it can be changed into a prime (20788811) 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 39 ways as a sum of consecutive naturals, for example, 67563 + ... + 67869.

It is an arithmetic number, because the mean of its divisors is an integer number (521752).

Almost surely, 220788812 is an apocalyptic number.

20788812 is a gapful number since it is divisible by the number (22) 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 20788812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31305120).

20788812 is an abundant number, since it is smaller than the sum of its proper divisors (41821428).

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

20788812 is a wasteful number, since it uses less digits than its factorization.

20788812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 20788812 is about 4559.4749697745. The cubic root of 20788812 is about 274.9644560122.

The spelling of 20788812 in words is "twenty million, seven hundred eighty-eight thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 81 99 108 114 132 162 171 198 209 228 297 307 324 342 396 418 513 594 614 627 684 836 891 921 1026 1188 1228 1254 1539 1782 1842 1881 2052 2508 2763 3078 3377 3564 3684 3762 5526 5643 5833 6156 6754 7524 8289 10131 11052 11286 11666 13508 16578 16929 17499 20262 22572 23332 24867 30393 33156 33858 34998 40524 49734 52497 60786 64163 67716 69996 91179 99468 104994 121572 128326 157491 182358 192489 209988 256652 273537 314982 364716 384978 472473 547074 577467 629964 769956 944946 1094148 1154934 1732401 1889892 2309868 3464802 5197203 6929604 10394406 20788812