Search a number
-
+
12169620 = 22325174197
BaseRepresentation
bin101110011011…
…000110010100
3211220021120200
4232123012110
511103411440
61112500500
7205303641
oct56330624
924807520
1012169620
116962241
1240aa730
1326a1278
14188adc8
151105c30
hexb9b194

12169620 has 144 divisors (see below), whose sum is σ = 40452048. Its totient is φ = 2949120.

The previous prime is 12169609. The next prime is 12169621. The reversal of 12169620 is 2696121.

12169620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 636804 + 11532816 = 798^2 + 3396^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12169621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125412 + ... + 125508.

It is an arithmetic number, because the mean of its divisors is an integer number (280917).

Almost surely, 212169620 is an apocalyptic number.

12169620 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 12169620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20226024).

12169620 is an abundant number, since it is smaller than the sum of its proper divisors (28282428).

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

12169620 is a wasteful number, since it uses less digits than its factorization.

12169620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12169620 is about 3488.4982442306. The cubic root of 12169620 is about 230.0165079519.

The spelling of 12169620 in words is "twelve million, one hundred sixty-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 41 45 51 60 68 82 85 90 97 102 123 153 164 170 180 194 204 205 246 255 291 306 340 369 388 410 485 492 510 582 612 615 697 738 765 820 873 970 1020 1164 1230 1394 1455 1476 1530 1649 1746 1845 1940 2091 2460 2788 2910 3060 3298 3485 3492 3690 3977 4182 4365 4947 5820 6273 6596 6970 7380 7954 8245 8364 8730 9894 10455 11931 12546 13940 14841 15908 16490 17460 19788 19885 20910 23862 24735 25092 29682 31365 32980 35793 39770 41820 47724 49470 59364 59655 62730 67609 71586 74205 79540 98940 119310 125460 135218 143172 148410 178965 202827 238620 270436 296820 338045 357930 405654 608481 676090 715860 811308 1014135 1216962 1352180 2028270 2433924 3042405 4056540 6084810 12169620