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134200 = 23521161
BaseRepresentation
bin100000110000111000
320211002101
4200300320
513243300
62513144
71066153
oct406070
9224071
10134200
1191910
12657b4
1349111
1436c9a
1529b6a
hex20c38

134200 has 48 divisors (see below), whose sum is σ = 345960. Its totient is φ = 48000.

The previous prime is 134191. The next prime is 134207. The reversal of 134200 is 2431.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2170 + ... + 2230.

2134200 is an apocalyptic number.

134200 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 134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172980).

134200 is an abundant number, since it is smaller than the sum of its proper divisors (211760).

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

134200 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (134199) it forms an eRAP, since the sums of their prime factors are consecutive (87 and 88).

134200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 134200 is about 366.3331816803. Note that the first 3 decimals coincide. The cubic root of 134200 is about 51.1977456690.

Adding to 134200 its reverse (2431), we get a palindrome (136631).

Subtracting from 134200 its reverse (2431), we obtain a square (131769 = 3632).

The spelling of 134200 in words is "one hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 61 88 100 110 122 200 220 244 275 305 440 488 550 610 671 1100 1220 1342 1525 2200 2440 2684 3050 3355 5368 6100 6710 12200 13420 16775 26840 33550 67100 134200