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12544016 = 242389383
BaseRepresentation
bin101111110110…
…100000010000
3212121022011012
4233312200100
511202402031
61124510052
7211423322
oct57664020
925538135
1012544016
117098561
12424b328
1327a27c4
141947612
15117bb2b
hexbf6810

12544016 has 40 divisors (see below), whose sum is σ = 25712640. Its totient is φ = 5916416.

The previous prime is 12544001. The next prime is 12544019. The reversal of 12544016 is 61044521.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 12543982 and 12544000.

It is not an unprimeable number, because it can be changed into a prime (12544019) 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 7 ways as a sum of consecutive naturals, for example, 32561 + ... + 32943.

It is an arithmetic number, because the mean of its divisors is an integer number (642816).

Almost surely, 212544016 is an apocalyptic number.

12544016 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 12544016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856320).

12544016 is an abundant number, since it is smaller than the sum of its proper divisors (13168624).

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

12544016 is a wasteful number, since it uses less digits than its factorization.

12544016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 12544016 is about 3541.7532381576. The cubic root of 12544016 is about 232.3515281314.

Adding to 12544016 its reverse (61044521), we get a palindrome (73588537).

The spelling of 12544016 in words is "twelve million, five hundred forty-four thousand, sixteen".

Divisors: 1 2 4 8 16 23 46 89 92 178 184 356 368 383 712 766 1424 1532 2047 3064 4094 6128 8188 8809 16376 17618 32752 34087 35236 68174 70472 136348 140944 272696 545392 784001 1568002 3136004 6272008 12544016