Search a number
-
+
132441200 = 2452467709
BaseRepresentation
bin1111110010011…
…10010001110000
3100020012201011122
413321032101300
5232401104300
621050401412
73165505643
oct771162160
9306181148
10132441200
116883a041
1238430268
1321591998
1413837a5a
15b961c85
hex7e4e470

132441200 has 60 divisors (see below), whose sum is σ = 319321080. Its totient is φ = 52788480.

The previous prime is 132441163. The next prime is 132441217. The reversal of 132441200 is 2144231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186446 + ... + 187154.

It is an arithmetic number, because the mean of its divisors is an integer number (5322018).

Almost surely, 2132441200 is an apocalyptic number.

132441200 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 132441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159660540).

132441200 is an abundant number, since it is smaller than the sum of its proper divisors (186879880).

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

132441200 is a wasteful number, since it uses less digits than its factorization.

132441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 132441200 is about 11508.3100410095. The cubic root of 132441200 is about 509.7309871800.

Adding to 132441200 its reverse (2144231), we get a palindrome (134585431).

It can be divided in two parts, 1324 and 41200, that added together give a palindrome (42524).

The spelling of 132441200 in words is "one hundred thirty-two million, four hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 467 709 934 1418 1868 2335 2836 3545 3736 4670 5672 7090 7472 9340 11344 11675 14180 17725 18680 23350 28360 35450 37360 46700 56720 70900 93400 141800 186800 283600 331103 662206 1324412 1655515 2648824 3311030 5297648 6622060 8277575 13244120 16555150 26488240 33110300 66220600 132441200