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12243504 = 2437132803
BaseRepresentation
bin101110101101…
…001000110000
3212001000221010
4232231020300
511113243004
61114230520
7206032230
oct56551060
925030833
1012243504
116a027a9
124125440
1326c8aa0
1418a9cc0
15111ca89
hexbad230

12243504 has 80 divisors (see below), whose sum is σ = 38941952. Its totient is φ = 3227904.

The previous prime is 12243457. The next prime is 12243541. The reversal of 12243504 is 40534221.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 2967 + ... + 5769.

Almost surely, 212243504 is an apocalyptic number.

12243504 is a gapful number since it is divisible by the number (14) 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 12243504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19470976).

12243504 is an abundant number, since it is smaller than the sum of its proper divisors (26698448).

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

12243504 is a wasteful number, since it uses less digits than its factorization.

12243504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 12243504 is about 3499.0718769411. The cubic root of 12243504 is about 230.4810599232.

Adding to 12243504 its reverse (40534221), we get a palindrome (52777725).

The spelling of 12243504 in words is "twelve million, two hundred forty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 2803 4368 5606 8409 11212 16818 19621 22424 33636 36439 39242 44848 58863 67272 72878 78484 109317 117726 134544 145756 156968 218634 235452 255073 291512 313936 437268 470904 510146 583024 765219 874536 941808 1020292 1530438 1749072 2040584 3060876 4081168 6121752 12243504