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12072744 = 2332167677
BaseRepresentation
bin101110000011…
…011100101000
3211201100200200
4232003130220
511042311434
61110432200
7204421335
oct56033450
924640620
1012072744
1168a6482
124062660
132669148
14186398c
1510d7199
hexb83728

12072744 has 24 divisors (see below), whose sum is σ = 32697210. Its totient is φ = 4024224.

The previous prime is 12072743. The next prime is 12072763. The reversal of 12072744 is 44727021.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 11492100 + 580644 = 3390^2 + 762^2 .

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

It is a super-2 number, since 2×120727442 = 291502295379072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12072743) 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, 83767 + ... + 83910.

Almost surely, 212072744 is an apocalyptic number.

It is an amenable number.

12072744 is an abundant number, since it is smaller than the sum of its proper divisors (20624466).

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

12072744 is a wasteful number, since it uses less digits than its factorization.

12072744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167689 (or 167682 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 12072744 is about 3474.5854428982. The cubic root of 12072744 is about 229.4045340336.

Adding to 12072744 its reverse (44727021), we get a palindrome (56799765).

The spelling of 12072744 in words is "twelve million, seventy-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167677 335354 503031 670708 1006062 1341416 1509093 2012124 3018186 4024248 6036372 12072744