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286530138 = 232171039091
BaseRepresentation
bin10001000101000…
…001101001011010
3201222011020110100
4101011001221122
51041322431023
644233200230
710046315556
oct2105015132
9658136410
10286530138
11137814374
127bb60076
1347492a7b
142a0a8866
151a24cc43
hex11141a5a

286530138 has 48 divisors (see below), whose sum is σ = 663788736. Its totient is φ = 89009280.

The previous prime is 286530107. The next prime is 286530149. The reversal of 286530138 is 831035682.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26973 + ... + 36063.

It is an arithmetic number, because the mean of its divisors is an integer number (13828932).

Almost surely, 2286530138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286530138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331894368).

286530138 is an abundant number, since it is smaller than the sum of its proper divisors (377258598).

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

286530138 is a wasteful number, since it uses less digits than its factorization.

286530138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9219 (or 9216 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 286530138 is about 16927.2011271799. The cubic root of 286530138 is about 659.2600660780.

The spelling of 286530138 in words is "two hundred eighty-six million, five hundred thirty thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 103 153 206 306 309 618 927 1751 1854 3502 5253 9091 10506 15759 18182 27273 31518 54546 81819 154547 163638 309094 463641 927282 936373 1390923 1872746 2781846 2809119 5618238 8427357 15918341 16854714 31836682 47755023 95510046 143265069 286530138