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12503296 = 28132172
BaseRepresentation
bin101111101100…
…100100000000
3212112020022001
4233230210000
511200101141
61123553344
7211163521
oct57544400
925466261
1012503296
11706aa03
12422b854
13278a100
141936848
15116ea31
hexbec900

12503296 has 81 divisors (see below), whose sum is σ = 28708491. Its totient is φ = 5431296.

The previous prime is 12503243. The next prime is 12503297. The reversal of 12503296 is 69230521.

The square root of 12503296 is 3536.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 12390400 = 336^2 + 3520^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12503297) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 735480 + ... + 735496.

Almost surely, 212503296 is an apocalyptic number.

12503296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12503296 is the 3536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12503296

12503296 is an abundant number, since it is smaller than the sum of its proper divisors (16205195).

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

12503296 is an equidigital number, since it uses as much as digits as its factorization.

12503296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The cubic root of 12503296 is about 232.0998381238.

The spelling of 12503296 in words is "twelve million, five hundred three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 169 208 221 256 272 289 338 416 442 544 578 676 832 884 1088 1156 1352 1664 1768 2176 2312 2704 2873 3328 3536 3757 4352 4624 5408 5746 7072 7514 9248 10816 11492 14144 15028 18496 21632 22984 28288 30056 36992 43264 45968 48841 56576 60112 73984 91936 97682 120224 183872 195364 240448 367744 390728 480896 735488 781456 961792 1562912 3125824 6251648 12503296