Search a number
-
+
131238 = 23223317
BaseRepresentation
bin100000000010100110
320200000200
4200002212
513144423
62451330
71054422
oct400246
9220020
10131238
118a668
1263b46
1347973
1435b82
1528d43
hex200a6

131238 has 24 divisors (see below), whose sum is σ = 297648. Its totient is φ = 41712.

The previous prime is 131231. The next prime is 131249. The reversal of 131238 is 832131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 131238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256 + ... + 572.

It is an arithmetic number, because the mean of its divisors is an integer number (12402).

2131238 is an apocalyptic number.

131238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148824).

131238 is an abundant number, since it is smaller than the sum of its proper divisors (166410).

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

131238 is a wasteful number, since it uses less digits than its factorization.

131238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 345 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 131238 is about 362.2678567027. The cubic root of 131238 is about 50.8182689991.

Adding to 131238 its reverse (832131), we get a palindrome (963369).

It can be divided in two parts, 13123 and 8, that added together give a palindrome (13131).

The spelling of 131238 in words is "one hundred thirty-one thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 317 414 634 951 1902 2853 5706 7291 14582 21873 43746 65619 131238