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11280288 = 253117503
BaseRepresentation
bin101011000001…
…111110100000
3210020002122110
4223001332200
510341432123
61041435320
7164611065
oct53017640
923202573
1011280288
116405058
12393bb40
13244c536
1416d8c6c
15ecc493
hexac1fa0

11280288 has 24 divisors (see below), whose sum is σ = 29611008. Its totient is φ = 3760064.

The previous prime is 11280287. The next prime is 11280307. The reversal of 11280288 is 88208211.

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

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11280287) 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, 58656 + ... + 58847.

It is an arithmetic number, because the mean of its divisors is an integer number (1233792).

Almost surely, 211280288 is an apocalyptic number.

It is an amenable number.

11280288 is an abundant number, since it is smaller than the sum of its proper divisors (18330720).

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

11280288 is a wasteful number, since it uses less digits than its factorization.

11280288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117516 (or 117508 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 11280288 is about 3358.6139998517. The cubic root of 11280288 is about 224.2711427489.

Adding to 11280288 its reverse (88208211), we get a palindrome (99488499).

The spelling of 11280288 in words is "eleven million, two hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 117503 235006 352509 470012 705018 940024 1410036 1880048 2820072 3760096 5640144 11280288