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12544116 = 22313191421
BaseRepresentation
bin101111110110…
…100001110100
3212121022021220
4233312201310
511202402431
61124510340
7211423524
oct57664164
925538256
1012544116
117098642
12424b3b0
1327a2870
141947684
15117bb96
hexbf6874

12544116 has 48 divisors (see below), whose sum is σ = 31761408. Its totient is φ = 3830400.

The previous prime is 12544111. The next prime is 12544127. The reversal of 12544116 is 61144521.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12544111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29586 + ... + 30006.

It is an arithmetic number, because the mean of its divisors is an integer number (661696).

Almost surely, 212544116 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 12544116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15880704).

12544116 is an abundant number, since it is smaller than the sum of its proper divisors (19217292).

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

12544116 is a wasteful number, since it uses less digits than its factorization.

12544116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 630 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 12544116 is about 3541.7673554315. The cubic root of 12544116 is about 232.3521455597.

Adding to 12544116 its reverse (61144521), we get a palindrome (73688637).

The spelling of 12544116 in words is "twelve million, five hundred forty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 191 382 421 573 764 842 1146 1263 1684 2292 2483 2526 4966 5052 5473 7449 9932 10946 14898 16419 21892 29796 32838 65676 80411 160822 241233 321644 482466 964932 1045343 2090686 3136029 4181372 6272058 12544116