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20102985 = 345721013
BaseRepresentation
bin100110010101…
…1111101001001
31101211100010000
41030223331021
520121243420
61554513213
7332605200
oct114537511
941740100
1020102985
1110390741
126895809
13421b276
142954237
151b71690
hex132bf49

20102985 has 60 divisors (see below), whose sum is σ = 41961348. Its totient is φ = 9180864.

The previous prime is 20102983. The next prime is 20103047. The reversal of 20102985 is 58920102.

It can be written as a sum of positive squares in 2 ways, for example, as 2286144 + 17816841 = 1512^2 + 4221^2 .

It is not a de Polignac number, because 20102985 - 21 = 20102983 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102983) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19339 + ... + 20351.

Almost surely, 220102985 is an apocalyptic number.

It is an amenable number.

20102985 is an abundant number, since it is smaller than the sum of its proper divisors (21858363).

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

20102985 is a wasteful number, since it uses less digits than its factorization.

20102985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 20102985 is about 4483.6352438618. The cubic root of 20102985 is about 271.9068714123.

The spelling of 20102985 in words is "twenty million, one hundred two thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 245 315 405 441 567 735 945 1013 1323 2205 2835 3039 3969 5065 6615 7091 9117 15195 19845 21273 27351 35455 45585 49637 63819 82053 106365 136755 148911 191457 248185 319095 410265 446733 574371 744555 957285 1340199 2233665 2871855 4020597 6700995 20102985