Search a number
-
+
131841360 = 243257237101
BaseRepresentation
bin1111101101110…
…11110101010000
3100012002020100100
413312323311100
5232222410420
621025452400
73160430100
oct766736520
9305066310
10131841360
116846a402
12381a1100
1321411951
141371d200
15b894190
hex7dbbd50

131841360 has 360 divisors, whose sum is σ = 534213576. Its totient is φ = 29030400.

The previous prime is 131841349. The next prime is 131841383. The reversal of 131841360 is 63148131.

It can be written as a sum of positive squares in 4 ways, for example, as 73410624 + 58430736 = 8568^2 + 7644^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1305310 + ... + 1305410.

Almost surely, 2131841360 is an apocalyptic number.

131841360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131841360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267106788).

131841360 is an abundant number, since it is smaller than the sum of its proper divisors (402372216).

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

131841360 is a wasteful number, since it uses less digits than its factorization.

131841360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 131841360 is about 11482.2192976793. The cubic root of 131841360 is about 508.9602808788.

Adding to 131841360 its reverse (63148131), we get a palindrome (194989491).

The spelling of 131841360 in words is "one hundred thirty-one million, eight hundred forty-one thousand, three hundred sixty".