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12854016 = 28327797
BaseRepresentation
bin110001000010…
…001100000000
3220012001101200
4301002030000
511242312031
61135301200
7214154160
oct61021400
926161350
1012854016
11728a45a
12437a800
132880936
1419c85a0
1511dd8e6
hexc42300

12854016 has 108 divisors (see below), whose sum is σ = 42408912. Its totient is φ = 3667968.

The previous prime is 12853991. The next prime is 12854021. The reversal of 12854016 is 61045821.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15730 + ... + 16526.

Almost surely, 212854016 is an apocalyptic number.

12854016 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 12854016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21204456).

12854016 is an abundant number, since it is smaller than the sum of its proper divisors (29554896).

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

12854016 is an equidigital number, since it uses as much as digits as its factorization.

12854016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12854016 is about 3585.2497820933. The cubic root of 12854016 is about 234.2500067390.

Adding to 12854016 its reverse (61045821), we get a palindrome (73899837).

The spelling of 12854016 in words is "twelve million, eight hundred fifty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 797 896 1008 1152 1344 1594 1792 2016 2304 2391 2688 3188 4032 4782 5376 5579 6376 7173 8064 9564 11158 12752 14346 16128 16737 19128 22316 25504 28692 33474 38256 44632 50211 51008 57384 66948 76512 89264 100422 102016 114768 133896 153024 178528 200844 204032 229536 267792 306048 357056 401688 459072 535584 612096 714112 803376 918144 1071168 1428224 1606752 1836288 2142336 3213504 4284672 6427008 12854016