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132744 = 2335531
BaseRepresentation
bin100000011010001000
320202002110
4200122020
513221434
62502320
71062003
oct403210
9222073
10132744
1190807
12649a0
1348561
143653a
15294e9
hex20688

132744 has 16 divisors (see below), whose sum is σ = 331920. Its totient is φ = 44240.

The previous prime is 132739. The next prime is 132749. The reversal of 132744 is 447231.

It is an interprime number because it is at equal distance from previous prime (132739) and next prime (132749).

It is a self number, because there is not a number n which added to its sum of digits gives 132744.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 132744.

It is not an unprimeable number, because it can be changed into a prime (132749) by changing a digit.

132744 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 3 ways as a sum of consecutive naturals, for example, 2742 + ... + 2789.

It is an arithmetic number, because the mean of its divisors is an integer number (20745).

2132744 is an apocalyptic number.

It is an amenable number.

132744 is an abundant number, since it is smaller than the sum of its proper divisors (199176).

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

132744 is a wasteful number, since it uses less digits than its factorization.

132744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540 (or 5536 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 132744 is about 364.3405000820. The cubic root of 132744 is about 51.0119157087.

Adding to 132744 its reverse (447231), we get a palindrome (579975).

The spelling of 132744 in words is "one hundred thirty-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 5531 11062 16593 22124 33186 44248 66372 132744