Search a number
-
+
12456672 = 253129757
BaseRepresentation
bin101111100001…
…001011100000
3212102212100020
4233201023200
511142103142
61122553440
7210610554
oct57411340
925385306
1012456672
117038978
124208880
132771b17
141923864
151160cec
hexbe12e0

12456672 has 24 divisors (see below), whose sum is σ = 32699016. Its totient is φ = 4152192.

The previous prime is 12456671. The next prime is 12456673. The reversal of 12456672 is 27665421.

It is an interprime number because it is at equal distance from previous prime (12456671) and next prime (12456673).

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12456671) 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 3 ways as a sum of consecutive naturals, for example, 64783 + ... + 64974.

It is an arithmetic number, because the mean of its divisors is an integer number (1362459).

Almost surely, 212456672 is an apocalyptic number.

12456672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12456672 is an abundant number, since it is smaller than the sum of its proper divisors (20242344).

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

12456672 is a wasteful number, since it uses less digits than its factorization.

12456672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129770 (or 129762 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 12456672 is about 3529.4010823368. The cubic root of 12456672 is about 231.8109835799.

The spelling of 12456672 in words is "twelve million, four hundred fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 129757 259514 389271 519028 778542 1038056 1557084 2076112 3114168 4152224 6228336 12456672