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12332580 = 22351397163
BaseRepresentation
bin101111000010…
…111000100100
3212012120010020
4233002320210
511124120310
61120155140
7206553021
oct57027044
925176106
1012332580
116a63717
124168ab0
13272a4b0
1418d0548
151139170
hexbc2e24

12332580 has 96 divisors (see below), whose sum is σ = 37801344. Its totient is φ = 2985984.

The previous prime is 12332557. The next prime is 12332597. The reversal of 12332580 is 8523321.

It is a self number, because there is not a number n which added to its sum of digits gives 12332580.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75579 + ... + 75741.

It is an arithmetic number, because the mean of its divisors is an integer number (393764).

Almost surely, 212332580 is an apocalyptic number.

12332580 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 12332580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18900672).

12332580 is an abundant number, since it is smaller than the sum of its proper divisors (25468764).

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

12332580 is a wasteful number, since it uses less digits than its factorization.

12332580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 12332580 is about 3511.7773277929. Note that the first 3 decimals coincide. The cubic root of 12332580 is about 231.0386547258.

The spelling of 12332580 in words is "twelve million, three hundred thirty-two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 97 130 156 163 194 195 260 291 326 388 390 485 489 582 652 780 815 970 978 1164 1261 1455 1630 1940 1956 2119 2445 2522 2910 3260 3783 4238 4890 5044 5820 6305 6357 7566 8476 9780 10595 12610 12714 15132 15811 18915 21190 25220 25428 31622 31785 37830 42380 47433 63244 63570 75660 79055 94866 127140 158110 189732 205543 237165 316220 411086 474330 616629 822172 948660 1027715 1233258 2055430 2466516 3083145 4110860 6166290 12332580