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20385666 = 2327229797
BaseRepresentation
bin100110111000…
…0111110000010
31102100200212200
41031300332002
520204320131
62004534030
7335163300
oct115607602
942320780
1020385666
1110564064
1269b1316
1342b9b32
1429c9270
151bca2e6
hex1370f82

20385666 has 72 divisors (see below), whose sum is σ = 53218620. Its totient is φ = 5616576.

The previous prime is 20385653. The next prime is 20385671. The reversal of 20385666 is 66658302.

It can be written as a sum of positive squares in 2 ways, for example, as 20385225 + 441 = 4515^2 + 21^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20385666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25180 + ... + 25976.

Almost surely, 220385666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20385666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26609310).

20385666 is an abundant number, since it is smaller than the sum of its proper divisors (32832954).

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

20385666 is a wasteful number, since it uses less digits than its factorization.

20385666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 20385666 is about 4515.0488369452. The cubic root of 20385666 is about 273.1754296512.

The spelling of 20385666 in words is "twenty million, three hundred eighty-five thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 49 58 63 87 98 126 147 174 203 261 294 406 441 522 609 797 882 1218 1421 1594 1827 2391 2842 3654 4263 4782 5579 7173 8526 11158 12789 14346 16737 23113 25578 33474 39053 46226 50211 69339 78106 100422 117159 138678 161791 208017 234318 323582 351477 416034 485373 702954 970746 1132537 1456119 2265074 2912238 3397611 6795222 10192833 20385666