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135828 = 22327311
BaseRepresentation
bin100001001010010100
320220022200
4201022110
513321303
62524500
71104000
oct411224
9226280
10135828
1193060
1266730
1349a94
1437700
152a3a3
hex21294

135828 has 72 divisors (see below), whose sum is σ = 436800. Its totient is φ = 35280.

The previous prime is 135799. The next prime is 135829. The reversal of 135828 is 828531.

It is a happy number.

135828 is nontrivially palindromic in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 135828.

It is not an unprimeable number, because it can be changed into a prime (135829) by changing a digit.

135828 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 23 ways as a sum of consecutive naturals, for example, 12343 + ... + 12353.

135828 is a Friedman number, since it can be written as 588*231, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 231588 (with its own digits).

2135828 is an apocalyptic number.

135828 is a gapful number since it is divisible by the number (18) 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 135828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218400).

135828 is an abundant number, since it is smaller than the sum of its proper divisors (300972).

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

135828 is a wasteful number, since it uses less digits than its factorization.

135828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 23 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 135828 is about 368.5485042705. The cubic root of 135828 is about 51.4039432343.

The spelling of 135828 in words is "one hundred thirty-five thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 343 396 441 462 539 588 686 693 882 924 1029 1078 1372 1386 1617 1764 2058 2156 2772 3087 3234 3773 4116 4851 6174 6468 7546 9702 11319 12348 15092 19404 22638 33957 45276 67914 135828