Search a number
-
+
141200 = 2452353
BaseRepresentation
bin100010011110010000
321011200122
4202132100
514004300
63005412
71125443
oct423620
9234618
10141200
11970a4
1269868
134c367
143965a
152bc85
hex22790

141200 has 30 divisors (see below), whose sum is σ = 340194. Its totient is φ = 56320.

The previous prime is 141199. The next prime is 141209. The reversal of 141200 is 2141.

It can be written as a sum of positive squares in 3 ways, for example, as 5776 + 135424 = 76^2 + 368^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141209) 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 5 ways as a sum of consecutive naturals, for example, 224 + ... + 576.

2141200 is an apocalyptic number.

141200 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 141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170097).

141200 is an abundant number, since it is smaller than the sum of its proper divisors (198994).

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

141200 is a wasteful number, since it uses less digits than its factorization.

141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 141200 is about 375.7658845611. The cubic root of 141200 is about 52.0728761228.

Adding to 141200 its reverse (2141), we get a palindrome (143341).

The spelling of 141200 in words is "one hundred forty-one thousand, two hundred", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 353 400 706 1412 1765 2824 3530 5648 7060 8825 14120 17650 28240 35300 70600 141200