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132240340 = 22523714049
BaseRepresentation
bin1111110000111…
…01001111010100
3100012211111122101
413320131033110
5232323142330
621042211444
73164011231
oct770351724
9305744571
10132240340
1168712141
1238353b84
132152142b
14137c4788
15b9224ca
hex7e1d3d4

132240340 has 48 divisors (see below), whose sum is σ = 293932800. Its totient is φ = 49871360.

The previous prime is 132240307. The next prime is 132240341. The reversal of 132240340 is 43042231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132240341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30636 + ... + 34684.

It is an arithmetic number, because the mean of its divisors is an integer number (6123600).

Almost surely, 2132240340 is an apocalyptic number.

132240340 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 132240340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146966400).

132240340 is an abundant number, since it is smaller than the sum of its proper divisors (161692460).

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

132240340 is a wasteful number, since it uses less digits than its factorization.

132240340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 132240340 is about 11499.5799923302. The cubic root of 132240340 is about 509.4731712122.

Adding to 132240340 its reverse (43042231), we get a palindrome (175282571).

The spelling of 132240340 in words is "one hundred thirty-two million, two hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 71 92 115 142 230 284 355 460 710 1420 1633 3266 4049 6532 8098 8165 16196 16330 20245 32660 40490 80980 93127 186254 287479 372508 465635 574958 931270 1149916 1437395 1862540 2874790 5749580 6612017 13224034 26448068 33060085 66120170 132240340