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131768 = 23713181
BaseRepresentation
bin100000001010111000
320200202022
4200022320
513204033
62454012
71056110
oct401270
9220668
10131768
118aaaa
1264308
1347c90
1436040
1529098
hex202b8

131768 has 32 divisors (see below), whose sum is σ = 305760. Its totient is φ = 51840.

The previous prime is 131759. The next prime is 131771. The reversal of 131768 is 867131.

Adding to 131768 its reverse (867131), we get a palindrome (998899).

It is a Cunningham number, because it is equal to 3632-1.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

131768 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 7 ways as a sum of consecutive naturals, for example, 638 + ... + 818.

It is an arithmetic number, because the mean of its divisors is an integer number (9555).

2131768 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 131768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152880).

131768 is an abundant number, since it is smaller than the sum of its proper divisors (173992).

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

131768 is a wasteful number, since it uses less digits than its factorization.

131768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 203 counting only the distinct ones).

The product of its digits is 1008, while the sum is 26.

The square root of 131768 is about 362.9986225869. The cubic root of 131768 is about 50.8865863736.

The spelling of 131768 in words is "one hundred thirty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 181 182 362 364 724 728 1267 1448 2353 2534 4706 5068 9412 10136 16471 18824 32942 65884 131768