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20185308 = 223311131307
BaseRepresentation
bin100110100000…
…0000011011100
31101222112001000
41031000003130
520131412213
62000350300
7333400203
oct115000334
941875030
1020185308
1110437580
126915390
134249890
14297623a
151b8ac73
hex13400dc

20185308 has 96 divisors (see below), whose sum is σ = 61528320. Its totient is φ = 5641920.

The previous prime is 20185271. The next prime is 20185331. The reversal of 20185308 is 80358102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14791 + ... + 16097.

It is an arithmetic number, because the mean of its divisors is an integer number (640920).

Almost surely, 220185308 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20185308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30764160).

20185308 is an abundant number, since it is smaller than the sum of its proper divisors (41343012).

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

20185308 is a wasteful number, since it uses less digits than its factorization.

20185308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 20185308 is about 4492.8062499957. The cubic root of 20185308 is about 272.2775245567.

The spelling of 20185308 in words is "twenty million, one hundred eighty-five thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 429 468 572 594 702 858 1188 1287 1307 1404 1716 2574 2614 3861 3921 5148 5228 7722 7842 11763 14377 15444 15684 16991 23526 28754 33982 35289 43131 47052 50973 57508 67964 70578 86262 101946 129393 141156 152919 172524 186901 203892 258786 305838 373802 388179 458757 517572 560703 611676 747604 776358 917514 1121406 1552716 1682109 1835028 2242812 3364218 5046327 6728436 10092654 20185308