Search a number
-
+
132096 = 210343
BaseRepresentation
bin100000010000000000
320201012110
4200100000
513211341
62455320
71060056
oct402000
9221173
10132096
1190278
1264540
1348183
14361d6
1529216
hex20400

132096 has 44 divisors (see below), whose sum is σ = 360272. Its totient is φ = 43008.

The previous prime is 132071. The next prime is 132103. The reversal of 132096 is 690231.

It is an unprimeable number.

132096 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 (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3051 + ... + 3093.

It is an arithmetic number, because the mean of its divisors is an integer number (8188).

2132096 is an apocalyptic number.

132096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180136).

132096 is an abundant number, since it is smaller than the sum of its proper divisors (228176).

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

132096 is an equidigital number, since it uses as much as digits as its factorization.

132096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 132096 is about 363.4501341312. The cubic root of 132096 is about 50.9287740833.

The spelling of 132096 in words is "one hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1024 1032 1376 1536 2064 2752 3072 4128 5504 8256 11008 16512 22016 33024 44032 66048 132096