Search a number
-
+
132320200 = 23524191579
BaseRepresentation
bin1111110001100…
…00101111001000
3100012222120012011
413320300233020
5232333221300
621044025304
73164463115
oct770605710
9305876164
10132320200
1168767141
1238392234
132154b89c
141380590c
15b93aeba
hex7e30bc8

132320200 has 48 divisors (see below), whose sum is σ = 308574000. Its totient is φ = 52768320.

The previous prime is 132320189. The next prime is 132320203. The reversal of 132320200 is 2023231.

It is a happy number.

132320200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (132320203) 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, 83011 + ... + 84589.

It is an arithmetic number, because the mean of its divisors is an integer number (6428625).

Almost surely, 2132320200 is an apocalyptic number.

132320200 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 132320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154287000).

132320200 is an abundant number, since it is smaller than the sum of its proper divisors (176253800).

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

132320200 is a wasteful number, since it uses less digits than its factorization.

132320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 132320200 is about 11503.0517689872. The cubic root of 132320200 is about 509.5757075991.

Adding to 132320200 its reverse (2023231), we get a palindrome (134343431).

The spelling of 132320200 in words is "one hundred thirty-two million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 419 838 1579 1676 2095 3158 3352 4190 6316 7895 8380 10475 12632 15790 16760 20950 31580 39475 41900 63160 78950 83800 157900 315800 661601 1323202 2646404 3308005 5292808 6616010 13232020 16540025 26464040 33080050 66160100 132320200