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141300 = 223252157
BaseRepresentation
bin100010011111110100
321011211100
4202133310
514010200
63010100
71125645
oct423764
9234740
10141300
1197185
1269930
134c413
14396cc
152bd00
hex227f4

141300 has 54 divisors (see below), whose sum is σ = 445718. Its totient is φ = 37440.

The previous prime is 141283. The next prime is 141301. The reversal of 141300 is 3141.

It can be written as a sum of positive squares in 3 ways, for example, as 2916 + 138384 = 54^2 + 372^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 822 + ... + 978.

2141300 is an apocalyptic number.

141300 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 141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222859).

141300 is an abundant number, since it is smaller than the sum of its proper divisors (304418).

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

141300 is a wasteful number, since it uses less digits than its factorization.

141300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 141300 is about 375.8989225843. The cubic root of 141300 is about 52.0851661577.

Adding to 141300 its reverse (3141), we get a palindrome (144441).

It can be divided in two parts, 141 and 300, that added together give a square (441 = 212).

The spelling of 141300 in words is "one hundred forty-one thousand, three hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 157 180 225 300 314 450 471 628 785 900 942 1413 1570 1884 2355 2826 3140 3925 4710 5652 7065 7850 9420 11775 14130 15700 23550 28260 35325 47100 70650 141300