Search a number
-
+
134904 = 23371173
BaseRepresentation
bin100000111011111000
320212001110
4200323320
513304104
62520320
71101210
oct407370
9225043
10134904
11923a0
12660a0
1349533
1437240
1529e89
hex20ef8

134904 has 64 divisors (see below), whose sum is σ = 426240. Its totient is φ = 34560.

The previous prime is 134887. The next prime is 134909. The reversal of 134904 is 409431.

134904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134909) by changing a digit.

134904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1812 + ... + 1884.

It is an arithmetic number, because the mean of its divisors is an integer number (6660).

2134904 is an apocalyptic number.

134904 is a gapful number since it is divisible by the number (14) 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 134904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213120).

134904 is an abundant number, since it is smaller than the sum of its proper divisors (291336).

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

134904 is a wasteful number, since it uses less digits than its factorization.

134904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 134904 is about 367.2927987315. The cubic root of 134904 is about 51.2871156879.

The spelling of 134904 in words is "one hundred thirty-four thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 73 77 84 88 132 146 154 168 219 231 264 292 308 438 462 511 584 616 803 876 924 1022 1533 1606 1752 1848 2044 2409 3066 3212 4088 4818 5621 6132 6424 9636 11242 12264 16863 19272 22484 33726 44968 67452 134904