Search a number
-
+
859144 = 231113751
BaseRepresentation
bin11010001110000001000
31121122112011
43101300020
5204443034
630225304
710205536
oct3216010
91548464
10859144
11537540
12355234
13241090
14185156
1511e864
hexd1c08

859144 has 32 divisors (see below), whose sum is σ = 1895040. Its totient is φ = 360000.

The previous prime is 859121. The next prime is 859181. The reversal of 859144 is 441958.

It is a happy number.

It is an unprimeable number.

859144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 769 + ... + 1519.

It is an arithmetic number, because the mean of its divisors is an integer number (59220).

2859144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 859144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947520).

859144 is an abundant number, since it is smaller than the sum of its proper divisors (1035896).

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

859144 is a wasteful number, since it uses less digits than its factorization.

859144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 777 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 859144 is about 926.9002103787. The cubic root of 859144 is about 95.0652921421.

It can be divided in two parts, 85 and 9144, that added together give a palindrome (9229).

The spelling of 859144 in words is "eight hundred fifty-nine thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 751 1144 1502 3004 6008 8261 9763 16522 19526 33044 39052 66088 78104 107393 214786 429572 859144