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285138 = 23273173
BaseRepresentation
bin1000101100111010010
3112111010200
41011213102
533111023
610040030
72265210
oct1054722
9474120
10285138
11185257
12119016
139ca29
1475cb0
1559743
hex459d2

285138 has 48 divisors (see below), whose sum is σ = 738816. Its totient is φ = 77760.

The previous prime is 285121. The next prime is 285139. The reversal of 285138 is 831582.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (285139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3870 + ... + 3942.

It is an arithmetic number, because the mean of its divisors is an integer number (15392).

2285138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369408).

285138 is an abundant number, since it is smaller than the sum of its proper divisors (453678).

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

285138 is a wasteful number, since it uses less digits than its factorization.

285138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 116 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 285138 is about 533.9831458014. The cubic root of 285138 is about 65.8190636522.

The spelling of 285138 in words is "two hundred eighty-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 73 93 126 146 186 217 219 279 434 438 511 558 651 657 1022 1302 1314 1533 1953 2263 3066 3906 4526 4599 6789 9198 13578 15841 20367 31682 40734 47523 95046 142569 285138