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12239280 = 2432589191
BaseRepresentation
bin101110101100…
…000110110000
3212000211010200
4232230012300
511113124110
61114155200
7206014014
oct56540660
925024120
1012239280
1169aa609
124122b00
1326c6ba1
1418a8544
15111b6c0
hexbac1b0

12239280 has 120 divisors (see below), whose sum is σ = 41783040. Its totient is φ = 3210240.

The previous prime is 12239273. The next prime is 12239309. The reversal of 12239280 is 8293221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 63985 + ... + 64175.

It is an arithmetic number, because the mean of its divisors is an integer number (348192).

Almost surely, 212239280 is an apocalyptic number.

12239280 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 12239280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20891520).

12239280 is an abundant number, since it is smaller than the sum of its proper divisors (29543760).

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

12239280 is a wasteful number, since it uses less digits than its factorization.

12239280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 290 counting only the distinct ones).

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

The square root of 12239280 is about 3498.4682362428. The cubic root of 12239280 is about 230.4545516083.

The spelling of 12239280 in words is "twelve million, two hundred thirty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 89 90 120 144 178 180 191 240 267 356 360 382 445 534 573 712 720 764 801 890 955 1068 1146 1335 1424 1528 1602 1719 1780 1910 2136 2292 2670 2865 3056 3204 3438 3560 3820 4005 4272 4584 5340 5730 6408 6876 7120 7640 8010 8595 9168 10680 11460 12816 13752 15280 16020 16999 17190 21360 22920 27504 32040 33998 34380 45840 50997 64080 67996 68760 84995 101994 135992 137520 152991 169990 203988 254985 271984 305982 339980 407976 509970 611964 679960 764955 815952 1019940 1223928 1359920 1529910 2039880 2447856 3059820 4079760 6119640 12239280