Search a number
-
+
10086282 = 234232707
BaseRepresentation
bin100110011110…
…011110001010
3200222102210000
4212132132022
510040230112
61000103430
7151506033
oct46363612
920872700
1010086282
115769a78
123464b76
132121c1b
1414a7a8a
15d437dc
hex99e78a

10086282 has 40 divisors (see below), whose sum is σ = 23592096. Its totient is φ = 3214728.

The previous prime is 10086239. The next prime is 10086301. The reversal of 10086282 is 28268001.

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2373 + ... + 5079.

Almost surely, 210086282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10086282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11796048).

10086282 is an abundant number, since it is smaller than the sum of its proper divisors (13505814).

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

10086282 is a wasteful number, since it uses less digits than its factorization.

10086282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10086282 is about 3175.8907411937. The cubic root of 10086282 is about 216.0613251799.

The spelling of 10086282 in words is "ten million, eighty-six thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1242 1863 2707 3726 5414 8121 16242 24363 48726 62261 73089 124522 146178 186783 219267 373566 438534 560349 1120698 1681047 3362094 5043141 10086282