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134596 = 227111923
BaseRepresentation
bin100000110111000100
320211122001
4200313010
513301341
62515044
71100260
oct406704
9224561
10134596
1192140
1265a84
1349357
14370a0
1529d31
hex20dc4

134596 has 48 divisors (see below), whose sum is σ = 322560. Its totient is φ = 47520.

The previous prime is 134593. The next prime is 134597. The reversal of 134596 is 695431.

134596 is a nontrivial binomial coefficient, being equal to C(24, 6).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134591) 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 15 ways as a sum of consecutive naturals, for example, 5841 + ... + 5863.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

2134596 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

134596 is an abundant number, since it is smaller than the sum of its proper divisors (187964).

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

134596 is a wasteful number, since it uses less digits than its factorization.

134596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 62 counting only the distinct ones).

The product of its digits is 3240, while the sum is 28.

The square root of 134596 is about 366.8732751237. The cubic root of 134596 is about 51.2480546555.

It can be divided in two parts, 1345 and 96, that added together give a palindrome (1441).

The spelling of 134596 in words is "one hundred thirty-four thousand, five hundred ninety-six".

Divisors: 1 2 4 7 11 14 19 22 23 28 38 44 46 76 77 92 133 154 161 209 253 266 308 322 418 437 506 532 644 836 874 1012 1463 1748 1771 2926 3059 3542 4807 5852 6118 7084 9614 12236 19228 33649 67298 134596