Search a number
-
+
201132 = 223237151
BaseRepresentation
bin110001000110101100
3101012220100
4301012230
522414012
64151100
71465251
oct610654
9335810
10201132
11128128
1298490
1370719
1453428
153e8dc
hex311ac

201132 has 36 divisors (see below), whose sum is σ = 525616. Its totient is φ = 64800.

The previous prime is 201121. The next prime is 201139. The reversal of 201132 is 231102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1257 + ... + 1407.

2201132 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 201132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262808).

201132 is an abundant number, since it is smaller than the sum of its proper divisors (324484).

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

201132 is a wasteful number, since it uses less digits than its factorization.

201132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 201132 is about 448.4774241810. The cubic root of 201132 is about 58.5904801909.

201132 divided by its product of nonzero digits (12) gives a palindrome (16761).

Adding to 201132 its reverse (231102), we get a palindrome (432234).

It can be divided in two parts, 201 and 132, that added together give a palindrome (333).

The spelling of 201132 in words is "two hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 151 222 302 333 444 453 604 666 906 1332 1359 1812 2718 5436 5587 11174 16761 22348 33522 50283 67044 100566 201132