[go: up one dir, main page]

Search a number
-
+
831138 = 237211257
BaseRepresentation
bin11001010111010100010
31120020002220
43022322202
5203044023
625451510
710031100
oct3127242
91506086
10831138
115184a0
12340b96
132313c9
14178c70
151163e3
hexcaea2

831138 has 48 divisors (see below), whose sum is σ = 2117664. Its totient is φ = 215040.

The previous prime is 831109. The next prime is 831139.

831138 is nontrivially palindromic in base 10.

831138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (831139) by changing a digit.

831138 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3106 + ... + 3362.

It is an arithmetic number, because the mean of its divisors is an integer number (44118).

2831138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058832).

831138 is an abundant number, since it is smaller than the sum of its proper divisors (1286526).

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

831138 is a wasteful number, since it uses less digits than its factorization.

831138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 280 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 831138 is about 911.6677026198. The cubic root of 831138 is about 94.0208947062.

It can be divided in two parts, 831 and 138, that added together give a palindrome (969).

The spelling of 831138 in words is "eight hundred thirty-one thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 257 294 462 514 539 771 1078 1542 1617 1799 2827 3234 3598 5397 5654 8481 10794 12593 16962 19789 25186 37779 39578 59367 75558 118734 138523 277046 415569 831138