Search a number
-
+
12116448 = 253242071
BaseRepresentation
bin101110001110…
…000111100000
3211210120122100
4232032013200
511100211243
61111410400
7204662631
oct56160740
924716570
1012116448
1169262a3
124083a00
132682cc6
141875888
1510e50d3
hexb8e1e0

12116448 has 36 divisors (see below), whose sum is σ = 34456968. Its totient is φ = 4038720.

The previous prime is 12116431. The next prime is 12116449. The reversal of 12116448 is 84461121.

It is a happy number.

12116448 is a `hidden beast` number, since 1 + 2 + 11 + 644 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12116449) 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 5 ways as a sum of consecutive naturals, for example, 20748 + ... + 21323.

It is an arithmetic number, because the mean of its divisors is an integer number (957138).

Almost surely, 212116448 is an apocalyptic number.

12116448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12116448 is an abundant number, since it is smaller than the sum of its proper divisors (22340520).

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

12116448 is a wasteful number, since it uses less digits than its factorization.

12116448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42087 (or 42076 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 12116448 is about 3480.8688570528. The cubic root of 12116448 is about 229.6810196978.

Adding to 12116448 its reverse (84461121), we get a palindrome (96577569).

The spelling of 12116448 in words is "twelve million, one hundred sixteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 42071 84142 126213 168284 252426 336568 378639 504852 673136 757278 1009704 1346272 1514556 2019408 3029112 4038816 6058224 12116448