Search a number
-
+
12804736 = 27731461
BaseRepresentation
bin110000110110…
…001010000000
3220002112210111
4300312022000
511234222421
61134241104
7213560410
oct60661200
926075714
1012804736
11725642a
124356194
132864389
1419b4640
1511cdee1
hexc36280

12804736 has 64 divisors (see below), whose sum is σ = 30159360. Its totient is φ = 5299200.

The previous prime is 12804733. The next prime is 12804739. The reversal of 12804736 is 63740821.

It is an interprime number because it is at equal distance from previous prime (12804733) and next prime (12804739).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×128047362 = 327922528059392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 12804698 and 12804707.

It is not an unprimeable number, because it can be changed into a prime (12804731) 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, 27546 + ... + 28006.

It is an arithmetic number, because the mean of its divisors is an integer number (471240).

Almost surely, 212804736 is an apocalyptic number.

12804736 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 12804736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15079680).

12804736 is an abundant number, since it is smaller than the sum of its proper divisors (17354624).

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

12804736 is an equidigital number, since it uses as much as digits as its factorization.

12804736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 12804736 is about 3578.3705789088. The cubic root of 12804736 is about 233.9502658079.

The spelling of 12804736 in words is "twelve million, eight hundred four thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 461 496 868 896 922 992 1736 1844 1984 3227 3472 3688 3968 6454 6944 7376 12908 13888 14291 14752 25816 27776 28582 29504 51632 57164 59008 100037 103264 114328 200074 206528 228656 400148 413056 457312 800296 914624 1600592 1829248 3201184 6402368 12804736