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131068 = 22731151
BaseRepresentation
bin11111111111111100
320122210101
4133333330
513143233
62450444
71054060
oct377774
9218711
10131068
118a523
1263a24
1347872
1435aa0
1528c7d
hex1fffc

131068 has 24 divisors (see below), whose sum is σ = 272384. Its totient is φ = 54000.

The previous prime is 131063. The next prime is 131071. The reversal of 131068 is 860131.

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 793 + ... + 943.

2131068 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 131068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136192).

131068 is an abundant number, since it is smaller than the sum of its proper divisors (141316).

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

131068 is a wasteful number, since it uses less digits than its factorization.

131068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 131068 is about 362.0331476536. The cubic root of 131068 is about 50.7963169256.

Adding to 131068 its reverse (860131), we get a palindrome (991199).

It can be divided in two parts, 1310 and 68, that added together give a triangular number (1378 = T52).

The spelling of 131068 in words is "one hundred thirty-one thousand, sixty-eight".

Divisors: 1 2 4 7 14 28 31 62 124 151 217 302 434 604 868 1057 2114 4228 4681 9362 18724 32767 65534 131068