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131850 = 23252293
BaseRepresentation
bin100000001100001010
320200212100
4200030022
513204400
62454230
71056255
oct401412
9220770
10131850
1190074
1264376
1348024
143609c
1529100
hex2030a

131850 has 36 divisors (see below), whose sum is σ = 355446. Its totient is φ = 35040.

The previous prime is 131849. The next prime is 131861. The reversal of 131850 is 58131.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 123201 + 8649 = 351^2 + 93^2 .

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 304 + ... + 596.

131850 is a Friedman number, since it can be written as 51^3-801, using all its digits and the basic arithmetic operations.

2131850 is an apocalyptic number.

131850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177723).

131850 is an abundant number, since it is smaller than the sum of its proper divisors (223596).

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

131850 is a wasteful number, since it uses less digits than its factorization.

131850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 131850 is about 363.1115531073. Note that the first 3 decimals coincide. The cubic root of 131850 is about 50.8971398586.

Adding to 131850 its reverse (58131), we get a palindrome (189981).

The spelling of 131850 in words is "one hundred thirty-one thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 293 450 586 879 1465 1758 2637 2930 4395 5274 7325 8790 13185 14650 21975 26370 43950 65925 131850