Search a number
-
+
12298560 = 263523557
BaseRepresentation
bin101110111010…
…100101000000
3212010211110020
4232322211000
511122023220
61115333440
7206351601
oct56724500
925124406
1012298560
116a400aa
124151280
132717b71
1418c1da8
15112e040
hexbba940

12298560 has 112 divisors (see below), whose sum is σ = 40818816. Its totient is φ = 3131392.

The previous prime is 12298547. The next prime is 12298571. The reversal of 12298560 is 6589221.

It is a nialpdrome in base 16.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 21802 + ... + 22358.

Almost surely, 212298560 is an apocalyptic number.

12298560 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 12298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20409408).

12298560 is an abundant number, since it is smaller than the sum of its proper divisors (28520256).

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

12298560 is a wasteful number, since it uses less digits than its factorization.

12298560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 12298560 is about 3506.9302815996. The cubic root of 12298560 is about 230.8260154277.

The spelling of 12298560 in words is "twelve million, two hundred ninety-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 557 690 736 920 960 1104 1114 1380 1472 1671 1840 2208 2228 2760 2785 3342 3680 4416 4456 5520 5570 6684 7360 8355 8912 11040 11140 12811 13368 16710 17824 22080 22280 25622 26736 33420 35648 38433 44560 51244 53472 64055 66840 76866 89120 102488 106944 128110 133680 153732 178240 192165 204976 256220 267360 307464 384330 409952 512440 534720 614928 768660 819904 1024880 1229856 1537320 2049760 2459712 3074640 4099520 6149280 12298560