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12066048 = 28325237
BaseRepresentation
bin101110000001…
…110100000000
3211201000111200
4232001310000
511042103143
61110341200
7204362661
oct56016400
924630450
1012066048
1168a1445
12405a800
132666097
141861368
1510d51d3
hexb81d00

12066048 has 54 divisors (see below), whose sum is σ = 34796034. Its totient is φ = 4021248.

The previous prime is 12066023. The next prime is 12066049. The reversal of 12066048 is 84066021.

It can be written as a sum of positive squares in only one way, i.e., 11614464 + 451584 = 3408^2 + 672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12066049) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 315 + ... + 4922.

It is an arithmetic number, because the mean of its divisors is an integer number (644371).

Almost surely, 212066048 is an apocalyptic number.

12066048 is a gapful number since it is divisible by the number (18) 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 12066048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17398017).

12066048 is an abundant number, since it is smaller than the sum of its proper divisors (22729986).

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

12066048 is an equidigital number, since it uses as much as digits as its factorization.

12066048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5259 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 12066048 is about 3473.6217410651. The cubic root of 12066048 is about 229.3621140491.

Subtracting from 12066048 its sum of digits (27), we obtain a palindrome (12066021).

The spelling of 12066048 in words is "twelve million, sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 5237 10474 15711 20948 31422 41896 47133 62844 83792 94266 125688 167584 188532 251376 335168 377064 502752 670336 754128 1005504 1340672 1508256 2011008 3016512 4022016 6033024 12066048