Search a number
-
+
12392820 = 22325112569
BaseRepresentation
bin101111010001…
…100101110100
3212022121202100
4233101211310
511133032240
61121342100
7210223446
oct57214564
925277670
1012392820
116aa4a00
124197930
13274ba3b
141908496
15114be30
hexbd1974

12392820 has 108 divisors (see below), whose sum is σ = 41392260. Its totient is φ = 2999040.

The previous prime is 12392803. The next prime is 12392827. The reversal of 12392820 is 2829321.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3175524 + 9217296 = 1782^2 + 3036^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12392827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21496 + ... + 22064.

Almost surely, 212392820 is an apocalyptic number.

12392820 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 12392820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20696130).

12392820 is an abundant number, since it is smaller than the sum of its proper divisors (28999440).

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

12392820 is a wasteful number, since it uses less digits than its factorization.

12392820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12392820 is about 3520.3437332170. The cubic root of 12392820 is about 231.4142227697.

The spelling of 12392820 in words is "twelve million, three hundred ninety-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 569 605 660 726 990 1089 1138 1210 1452 1707 1815 1980 2178 2276 2420 2845 3414 3630 4356 5121 5445 5690 6259 6828 7260 8535 10242 10890 11380 12518 17070 18777 20484 21780 25036 25605 31295 34140 37554 51210 56331 62590 68849 75108 93885 102420 112662 125180 137698 187770 206547 225324 275396 281655 344245 375540 413094 563310 619641 688490 826188 1032735 1126620 1239282 1376980 2065470 2478564 3098205 4130940 6196410 12392820