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13326336 = 21133241
BaseRepresentation
bin110010110101…
…100000000000
3221002001022000
4302311200000
511402420321
61153344000
7221162202
oct62654000
927061260
1013326336
117582301
124568000
1329b790a
141aac772
151283826
hexcb5800

13326336 has 96 divisors (see below), whose sum is σ = 39639600. Its totient is φ = 4423680.

The previous prime is 13326331. The next prime is 13326337. The reversal of 13326336 is 63362331.

13326336 is a `hidden beast` number, since 1 + 3 + 326 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13326331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55176 + ... + 55416.

Almost surely, 213326336 is an apocalyptic number.

13326336 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 13326336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19819800).

13326336 is an abundant number, since it is smaller than the sum of its proper divisors (26313264).

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

13326336 is an equidigital number, since it uses as much as digits as its factorization.

13326336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 246 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

The square root of 13326336 is about 3650.5254416317. The cubic root of 13326336 is about 237.0847317606.

Adding to 13326336 its reverse (63362331), we get a palindrome (76688667).

The spelling of 13326336 in words is "thirteen million, three hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 241 256 288 384 432 482 512 576 723 768 864 964 1024 1152 1446 1536 1728 1928 2048 2169 2304 2892 3072 3456 3856 4338 4608 5784 6144 6507 6912 7712 8676 9216 11568 13014 13824 15424 17352 18432 23136 26028 27648 30848 34704 46272 52056 55296 61696 69408 92544 104112 123392 138816 185088 208224 246784 277632 370176 416448 493568 555264 740352 832896 1110528 1480704 1665792 2221056 3331584 4442112 6663168 13326336