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12380928 = 2837347
BaseRepresentation
bin101111001110…
…101100000000
3212022000102220
4233032230000
511132142203
61121211040
7210144000
oct57165400
925260386
1012380928
116a96a7a
124190a80
1327464c1
141904000
151148653
hexbceb00

12380928 has 144 divisors (see below), whose sum is σ = 39244800. Its totient is φ = 3462144.

The previous prime is 12380911. The next prime is 12380957. The reversal of 12380928 is 82908321.

It is a congruent number.

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, 263401 + ... + 263447.

Almost surely, 212380928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12380928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19622400).

12380928 is an abundant number, since it is smaller than the sum of its proper divisors (26863872).

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

12380928 is an frugal number, since it uses more digits than its factorization.

12380928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 12380928 is about 3518.6542882187. The cubic root of 12380928 is about 231.3401783186.

The spelling of 12380928 in words is "twelve million, three hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 49 56 64 84 94 96 98 112 128 141 147 168 188 192 196 224 256 282 294 329 336 343 376 384 392 448 564 588 658 672 686 752 768 784 896 987 1029 1128 1176 1316 1344 1372 1504 1568 1792 1974 2058 2256 2303 2352 2632 2688 2744 3008 3136 3948 4116 4512 4606 4704 5264 5376 5488 6016 6272 6909 7896 8232 9024 9212 9408 10528 10976 12032 12544 13818 15792 16121 16464 18048 18424 18816 21056 21952 27636 31584 32242 32928 36096 36848 37632 42112 43904 48363 55272 63168 64484 65856 73696 84224 87808 96726 110544 126336 128968 131712 147392 193452 221088 252672 257936 263424 294784 386904 442176 515872 589568 773808 884352 1031744 1547616 1768704 2063488 3095232 4126976 6190464 12380928