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133236 = 22323701
BaseRepresentation
bin100000100001110100
320202202200
4200201310
513230421
62504500
71063305
oct404164
9222680
10133236
1191114
1265130
134884c
14367ac
1529726
hex20874

133236 has 18 divisors (see below), whose sum is σ = 336882. Its totient is φ = 44400.

The previous prime is 133213. The next prime is 133241. The reversal of 133236 is 632331.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 108900 + 24336 = 330^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 14.

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 133236.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1815 + ... + 1886.

2133236 is an apocalyptic number.

It is an amenable number.

133236 is an abundant number, since it is smaller than the sum of its proper divisors (203646).

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

133236 is a wasteful number, since it uses less digits than its factorization.

133236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3706 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 133236 is about 365.0150681821. The cubic root of 133236 is about 51.0748612248.

Adding to 133236 its reverse (632331), we get a palindrome (765567).

It can be divided in two parts, 13 and 3236, that added together give a square (3249 = 572).

The spelling of 133236 in words is "one hundred thirty-three thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 3701 7402 11103 14804 22206 33309 44412 66618 133236