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12245040 = 243355669
BaseRepresentation
bin101110101101…
…100000110000
3212001010001000
4232231200300
511113320130
61114242000
7206036553
oct56554060
925033030
1012245040
116a03975
124126300
1326c96b2
1418aa69a
15111d260
hexbad830

12245040 has 80 divisors (see below), whose sum is σ = 42184800. Its totient is φ = 3264768.

The previous prime is 12245033. The next prime is 12245041. The reversal of 12245040 is 4054221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12245041) by changing a digit.

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, 675 + ... + 4994.

It is an arithmetic number, because the mean of its divisors is an integer number (527310).

Almost surely, 212245040 is an apocalyptic number.

12245040 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 12245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21092400).

12245040 is an abundant number, since it is smaller than the sum of its proper divisors (29939760).

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

12245040 is a wasteful number, since it uses less digits than its factorization.

12245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5691 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 12245040 is about 3499.2913568321. The cubic root of 12245040 is about 230.4906977987.

Adding to 12245040 its reverse (4054221), we get a palindrome (16299261).

The spelling of 12245040 in words is "twelve million, two hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 5669 11338 17007 22676 28345 34014 45352 51021 56690 68028 85035 90704 102042 113380 136056 153063 170070 204084 226760 255105 272112 306126 340140 408168 453520 510210 612252 680280 765315 816336 1020420 1224504 1360560 1530630 2040840 2449008 3061260 4081680 6122520 12245040