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11214048 = 253199587
BaseRepresentation
bin101010110001…
…110011100000
3210002201210010
4222301303200
510332322143
61040204520
7164214006
oct52616340
923081703
1011214048
11636a30a
123909740
132428341
1416bca76
15eb7a33
hexab1ce0

11214048 has 48 divisors (see below), whose sum is σ = 29635200. Its totient is φ = 3712896.

The previous prime is 11214043. The next prime is 11214053. The reversal of 11214048 is 84041211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11214043) and next prime (11214053).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11214043) 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 7 ways as a sum of consecutive naturals, for example, 18811 + ... + 19397.

It is an arithmetic number, because the mean of its divisors is an integer number (617400).

Almost surely, 211214048 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 11214048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817600).

11214048 is an abundant number, since it is smaller than the sum of its proper divisors (18421152).

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

11214048 is a wasteful number, since it uses less digits than its factorization.

11214048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 11214048 is about 3348.7382698563. The cubic root of 11214048 is about 223.8312930373.

Adding to 11214048 its reverse (84041211), we get a palindrome (95255259).

The spelling of 11214048 in words is "eleven million, two hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 587 597 796 1174 1194 1592 1761 2348 2388 3184 3522 4696 4776 6368 7044 9392 9552 14088 18784 19104 28176 56352 116813 233626 350439 467252 700878 934504 1401756 1869008 2803512 3738016 5607024 11214048