Search a number
-
+
134300 = 22521779
BaseRepresentation
bin100000110010011100
320211020002
4200302130
513244200
62513432
71066355
oct406234
9224202
10134300
11919a1
1265878
134918a
1436d2c
1529bd5
hex20c9c

134300 has 36 divisors (see below), whose sum is σ = 312480. Its totient is φ = 49920.

The previous prime is 134293. The next prime is 134327. The reversal of 134300 is 3431.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

134300 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1661 + ... + 1739.

It is an arithmetic number, because the mean of its divisors is an integer number (8680).

2134300 is an apocalyptic number.

134300 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 134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240).

134300 is an abundant number, since it is smaller than the sum of its proper divisors (178180).

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

134300 is a wasteful number, since it uses less digits than its factorization.

134300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 134300 is about 366.4696440362. The cubic root of 134300 is about 51.2104592890.

Adding to 134300 its reverse (3431), we get a palindrome (137731).

It can be divided in two parts, 134 and 300, that added together give a palindrome (434).

The spelling of 134300 in words is "one hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 79 85 100 158 170 316 340 395 425 790 850 1343 1580 1700 1975 2686 3950 5372 6715 7900 13430 26860 33575 67150 134300