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12827024 = 247216361
BaseRepresentation
bin110000111011…
…100110010000
3220010200100222
4300323212100
511240431044
61134532212
7214012400
oct60734620
926120328
1012827024
117271151
124367068
132871572
1419bc800
1511d58ee
hexc3b990

12827024 has 30 divisors (see below), whose sum is σ = 28911654. Its totient is φ = 5496960.

The previous prime is 12827021. The next prime is 12827041. The reversal of 12827024 is 42072821.

It can be written as a sum of positive squares in only one way, i.e., 10368400 + 2458624 = 3220^2 + 1568^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12826984 and 12827002.

It is not an unprimeable number, because it can be changed into a prime (12827021) 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 5 ways as a sum of consecutive naturals, for example, 7397 + ... + 8964.

Almost surely, 212827024 is an apocalyptic number.

12827024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12827024 is an abundant number, since it is smaller than the sum of its proper divisors (16084630).

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

12827024 is a wasteful number, since it uses less digits than its factorization.

12827024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16383 (or 16370 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 12827024 is about 3581.4834915158. The cubic root of 12827024 is about 234.0859255385.

Adding to 12827024 its reverse (42072821), we get a palindrome (54899845).

The spelling of 12827024 in words is "twelve million, eight hundred twenty-seven thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 16361 32722 65444 114527 130888 229054 261776 458108 801689 916216 1603378 1832432 3206756 6413512 12827024