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12827328 = 26366809
BaseRepresentation
bin110000111011…
…101011000000
3220010200210020
4300323223000
511240433303
61134533440
7214013313
oct60735300
926120706
1012827328
1172713a8
124367280
132871747
1419bc97a
1511d5a53
hexc3bac0

12827328 has 28 divisors (see below), whose sum is σ = 33939480. Its totient is φ = 4275712.

The previous prime is 12827327. The next prime is 12827329. The reversal of 12827328 is 82372821.

It is an interprime number because it is at equal distance from previous prime (12827327) and next prime (12827329).

It is a super-3 number, since 3×128273283 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12827327) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 33213 + ... + 33596.

Almost surely, 212827328 is an apocalyptic number.

It is an amenable number.

12827328 is an abundant number, since it is smaller than the sum of its proper divisors (21112152).

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

12827328 is an equidigital number, since it uses as much as digits as its factorization.

12827328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66824 (or 66814 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 12827328 is about 3581.5259317782. The cubic root of 12827328 is about 234.0877747999.

The spelling of 12827328 in words is "twelve million, eight hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 66809 133618 200427 267236 400854 534472 801708 1068944 1603416 2137888 3206832 4275776 6413664 12827328