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12836864 = 2131567
BaseRepresentation
bin110000111110…
…000000000000
3220011011212102
4300332000000
511241234424
61135045532
7214053155
oct60760000
926134772
1012836864
117278587
1243708a8
132875ba1
1419c222c
1511d87ae
hexc3e000

12836864 has 28 divisors (see below), whose sum is σ = 25688544. Its totient is φ = 6414336.

The previous prime is 12836861. The next prime is 12836867. The reversal of 12836864 is 46863821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12836861) and next prime (12836867).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12836861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7409 + ... + 8975.

It is an arithmetic number, because the mean of its divisors is an integer number (917448).

Almost surely, 212836864 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 12836864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12844272).

12836864 is an abundant number, since it is smaller than the sum of its proper divisors (12851680).

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

12836864 is an frugal number, since it uses more digits than its factorization.

12836864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1569 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 12836864 is about 3582.8569605833. The cubic root of 12836864 is about 234.1457683816.

The spelling of 12836864 in words is "twelve million, eight hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1567 2048 3134 4096 6268 8192 12536 25072 50144 100288 200576 401152 802304 1604608 3209216 6418432 12836864