[go: up one dir, main page]

Search a number
-
+
131706 = 235271
BaseRepresentation
bin100000001001111010
320200200000
4200021322
513203311
62453430
71055661
oct401172
9220600
10131706
118aa53
1264276
1347c43
1435dd8
1529056
hex2027a

131706 has 24 divisors (see below), whose sum is σ = 297024. Its totient is φ = 43740.

The previous prime is 131701. The next prime is 131707. The reversal of 131706 is 607131.

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

It is not an unprimeable number, because it can be changed into a prime (131701) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 351 + ... + 621.

It is an arithmetic number, because the mean of its divisors is an integer number (12376).

2131706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148512).

131706 is an abundant number, since it is smaller than the sum of its proper divisors (165318).

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

131706 is an equidigital number, since it uses as much as digits as its factorization.

131706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 131706 is about 362.9132127658. The cubic root of 131706 is about 50.8786040023.

Adding to 131706 its reverse (607131), we get a palindrome (738837).

The spelling of 131706 in words is "one hundred thirty-one thousand, seven hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 271 486 542 813 1626 2439 4878 7317 14634 21951 43902 65853 131706