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11381088 = 2531031151
BaseRepresentation
bin101011011010…
…100101100000
3210102012220210
4223122211200
510403143323
61043534120
7165511005
oct53324540
923365823
1011381088
116473864
12398a340
132486394
1417238ac
15eec293
hexada960

11381088 has 48 divisors (see below), whose sum is σ = 30191616. Its totient is φ = 3753600.

The previous prime is 11381081. The next prime is 11381101. The reversal of 11381088 is 88018311.

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 (11381081) 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, 9313 + ... + 10463.

It is an arithmetic number, because the mean of its divisors is an integer number (628992).

Almost surely, 211381088 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 11381088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095808).

11381088 is an abundant number, since it is smaller than the sum of its proper divisors (18810528).

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

11381088 is a wasteful number, since it uses less digits than its factorization.

11381088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 11381088 is about 3373.5868152458. The cubic root of 11381088 is about 224.9371874047.

Adding to 11381088 its reverse (88018311), we get a palindrome (99399399).

The spelling of 11381088 in words is "eleven million, three hundred eighty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1151 1236 1648 2302 2472 3296 3453 4604 4944 6906 9208 9888 13812 18416 27624 36832 55248 110496 118553 237106 355659 474212 711318 948424 1422636 1896848 2845272 3793696 5690544 11381088