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10086012 = 2233471987
BaseRepresentation
bin100110011110…
…011001111100
3200222102102000
4212132121330
510040223022
61000102300
7151505166
oct46363174
920872360
1010086012
115769852
123464990
132121a71
1414a7936
15d436ac
hex99e67c

10086012 has 48 divisors (see below), whose sum is σ = 26718720. Its totient is φ = 3288816.

The previous prime is 10086001. The next prime is 10086019. The reversal of 10086012 is 21068001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10086019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4083 + ... + 6069.

It is an arithmetic number, because the mean of its divisors is an integer number (556640).

Almost surely, 210086012 is an apocalyptic number.

10086012 is a gapful number since it is divisible by the number (12) 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 10086012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13359360).

10086012 is an abundant number, since it is smaller than the sum of its proper divisors (16632708).

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

10086012 is a wasteful number, since it uses less digits than its factorization.

10086012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10086012 is about 3175.8482331497. The cubic root of 10086012 is about 216.0593972453.

The spelling of 10086012 in words is "ten million, eighty-six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 1987 2538 3974 5076 5961 7948 11922 17883 23844 35766 53649 71532 93389 107298 186778 214596 280167 373556 560334 840501 1120668 1681002 2521503 3362004 5043006 10086012