Search a number
-
+
132080 = 24513127
BaseRepresentation
bin100000001111110000
320201011212
4200033300
513211310
62455252
71060034
oct401760
9221155
10132080
1190263
1264528
1348170
14361c4
1529205
hex203f0

132080 has 40 divisors (see below), whose sum is σ = 333312. Its totient is φ = 48384.

The previous prime is 132071. The next prime is 132103. The reversal of 132080 is 80231.

132080 = T136 + T137 + ... + T148.

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

132080 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 977 + ... + 1103.

2132080 is an apocalyptic number.

132080 is a gapful number since it is divisible by the number (10) 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 132080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166656).

132080 is an abundant number, since it is smaller than the sum of its proper divisors (201232).

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

132080 is a wasteful number, since it uses less digits than its factorization.

132080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 132080 is about 363.4281221920. The cubic root of 132080 is about 50.9267177675.

The spelling of 132080 in words is "one hundred thirty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 127 130 208 254 260 508 520 635 1016 1040 1270 1651 2032 2540 3302 5080 6604 8255 10160 13208 16510 26416 33020 66040 132080