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135304 = 23131301
BaseRepresentation
bin100001000010001000
320212121021
4201002020
513312204
62522224
71102321
oct410210
9225537
10135304
1192724
1266374
1349780
1437448
152a154
hex21088

135304 has 16 divisors (see below), whose sum is σ = 273420. Its totient is φ = 62400.

The previous prime is 135301. The next prime is 135319. The reversal of 135304 is 403531.

It can be written as a sum of positive squares in 2 ways, for example, as 96100 + 39204 = 310^2 + 198^2 .

It is not an unprimeable number, because it can be changed into a prime (135301) by changing a digit.

It is a nontrivial repunit in base 51.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 547 + ... + 754.

2135304 is an apocalyptic number.

It is an amenable number.

135304 is an abundant number, since it is smaller than the sum of its proper divisors (138116).

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

135304 is a wasteful number, since it uses less digits than its factorization.

135304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 135304 is about 367.8369203873. The cubic root of 135304 is about 51.3377556581.

Adding to 135304 its reverse (403531), we get a palindrome (538835).

The spelling of 135304 in words is "one hundred thirty-five thousand, three hundred four".

Divisors: 1 2 4 8 13 26 52 104 1301 2602 5204 10408 16913 33826 67652 135304