Search a number
-
+
132642 = 2327369
BaseRepresentation
bin100000011000100010
320201221200
4200120202
513221032
62502030
71061466
oct403042
9221850
10132642
1190724
1264916
13484b3
14364a6
152947c
hex20622

132642 has 12 divisors (see below), whose sum is σ = 287430. Its totient is φ = 44208.

The previous prime is 132637. The next prime is 132647. The reversal of 132642 is 246231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132637) and next prime (132647).

It can be written as a sum of positive squares in only one way, i.e., 84681 + 47961 = 291^2 + 219^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 7369 = 132642 / (1 + 3 + 2 + 6 + 4 + 2).

It is a d-powerful number, because it can be written as 1 + 33 + 6 + 29 + 45 + 217 .

It is not an unprimeable number, because it can be changed into a prime (132647) by changing a digit.

132642 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3667 + ... + 3702.

2132642 is an apocalyptic number.

132642 is an abundant number, since it is smaller than the sum of its proper divisors (154788).

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

132642 is a wasteful number, since it uses less digits than its factorization.

132642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7377 (or 7374 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 132642 is about 364.2004942336. The cubic root of 132642 is about 50.9988465714.

Adding to 132642 its reverse (246231), we get a palindrome (378873).

The spelling of 132642 in words is "one hundred thirty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 7369 14738 22107 44214 66321 132642