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11217280 = 275171031
BaseRepresentation
bin101010110010…
…100110000000
3210002220012211
4222302212000
510332423110
61040231504
7164226304
oct52624600
923086184
1011217280
116371788
12390b594
132429959
1416bdd04
15eb898a
hexab2980

11217280 has 64 divisors (see below), whose sum is σ = 28421280. Its totient is φ = 4218880.

The previous prime is 11217251. The next prime is 11217301. The reversal of 11217280 is 8271211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10365 + ... + 11395.

Almost surely, 211217280 is an apocalyptic number.

11217280 is a gapful number since it is divisible by the number (10) 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 11217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14210640).

11217280 is an abundant number, since it is smaller than the sum of its proper divisors (17204000).

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

11217280 is a wasteful number, since it uses less digits than its factorization.

11217280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 22.

The square root of 11217280 is about 3349.2208049037. The cubic root of 11217280 is about 223.8527944389.

Adding to 11217280 its reverse (8271211), we get a palindrome (19488491).

The spelling of 11217280 in words is "eleven million, two hundred seventeen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1031 1088 1360 2062 2176 2720 4124 5155 5440 8248 10310 10880 16496 17527 20620 32992 35054 41240 65984 70108 82480 87635 131968 140216 164960 175270 280432 329920 350540 560864 659840 701080 1121728 1402160 2243456 2804320 5608640 11217280