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12529296 = 2433132397
BaseRepresentation
bin101111110010…
…111010010000
3212120112222000
4233302322100
511201414141
61124314000
7211332363
oct57627220
925515860
1012529296
11708849a
124242900
132798bb0
1419420da
1511775b6
hexbf2e90

12529296 has 160 divisors (see below), whose sum is σ = 40830720. Its totient is φ = 3649536.

The previous prime is 12529291. The next prime is 12529337. The reversal of 12529296 is 69292521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 12529296.

It is not an unprimeable number, because it can be changed into a prime (12529291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129120 + ... + 129216.

It is an arithmetic number, because the mean of its divisors is an integer number (255192).

Almost surely, 212529296 is an apocalyptic number.

12529296 is a gapful number since it is divisible by the number (16) 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 12529296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20415360).

12529296 is an abundant number, since it is smaller than the sum of its proper divisors (28301424).

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

12529296 is a wasteful number, since it uses less digits than its factorization.

12529296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 12529296 is about 3539.6745613121. The cubic root of 12529296 is about 232.2606068718.

The spelling of 12529296 in words is "twelve million, five hundred twenty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 36 39 46 48 52 54 69 72 78 92 97 104 108 117 138 144 156 184 194 207 208 216 234 276 291 299 312 351 368 388 414 432 468 552 582 598 621 624 702 776 828 873 897 936 1104 1164 1196 1242 1261 1404 1552 1656 1746 1794 1872 2231 2328 2392 2484 2522 2619 2691 2808 3312 3492 3588 3783 4462 4656 4784 4968 5044 5238 5382 5616 6693 6984 7176 7566 8073 8924 9936 10088 10476 10764 11349 13386 13968 14352 15132 16146 17848 20079 20176 20952 21528 22698 26772 29003 30264 32292 34047 35696 40158 41904 43056 45396 53544 58006 60237 60528 64584 68094 80316 87009 90792 107088 116012 120474 129168 136188 160632 174018 181584 232024 240948 261027 272376 321264 348036 464048 481896 522054 544752 696072 783081 963792 1044108 1392144 1566162 2088216 3132324 4176432 6264648 12529296