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134700 = 22352449
BaseRepresentation
bin100000111000101100
320211202220
4200320230
513302300
62515340
71100466
oct407054
9224686
10134700
1192225
1265b50
1349407
1437136
1529da0
hex20e2c

134700 has 36 divisors (see below), whose sum is σ = 390600. Its totient is φ = 35840.

The previous prime is 134699. The next prime is 134707. The reversal of 134700 is 7431.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 134700.

It is not an unprimeable number, because it can be changed into a prime (134707) 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 11 ways as a sum of consecutive naturals, for example, 76 + ... + 524.

It is an arithmetic number, because the mean of its divisors is an integer number (10850).

2134700 is an apocalyptic number.

134700 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 134700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195300).

134700 is an abundant number, since it is smaller than the sum of its proper divisors (255900).

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

134700 is a wasteful number, since it uses less digits than its factorization.

134700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 134700 is about 367.0149860701. The cubic root of 134700 is about 51.2612507523.

The spelling of 134700 in words is "one hundred thirty-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 449 898 1347 1796 2245 2694 4490 5388 6735 8980 11225 13470 22450 26940 33675 44900 67350 134700