Search a number
-
+
132305320 = 2357835693
BaseRepresentation
bin1111110001011…
…01000110101000
3100012221210210001
413320231012220
5232332232240
621043432344
73164401540
oct770550650
9305853701
10132305320
1168756a44
12383856b4
1321544b94
1413800320
15b93689a
hex7e2d1a8

132305320 has 64 divisors (see below), whose sum is σ = 344373120. Its totient is φ = 44807424.

The previous prime is 132305311. The next prime is 132305333. The reversal of 132305320 is 23503231.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20394 + ... + 26086.

It is an arithmetic number, because the mean of its divisors is an integer number (5380830).

Almost surely, 2132305320 is an apocalyptic number.

132305320 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 132305320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172186560).

132305320 is an abundant number, since it is smaller than the sum of its proper divisors (212067800).

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

132305320 is a wasteful number, since it uses less digits than its factorization.

132305320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5794 (or 5790 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 132305320 is about 11502.4049659191. The cubic root of 132305320 is about 509.5566055251.

Adding to 132305320 its reverse (23503231), we get a palindrome (155808551).

The spelling of 132305320 in words is "one hundred thirty-two million, three hundred five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 140 166 280 332 415 581 664 830 1162 1660 2324 2905 3320 4648 5693 5810 11386 11620 22772 23240 28465 39851 45544 56930 79702 113860 159404 199255 227720 318808 398510 472519 797020 945038 1594040 1890076 2362595 3307633 3780152 4725190 6615266 9450380 13230532 16538165 18900760 26461064 33076330 66152660 132305320