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11280128 = 28139317
BaseRepresentation
bin101011000001…
…111100000000
3210020002102112
4223001330000
510341431003
61041434452
7164610446
oct53017400
923202375
1011280128
116404a22
12393ba28
13244c442
1416d8b96
15ecc3d8
hexac1f00

11280128 has 36 divisors (see below), whose sum is σ = 22749720. Its totient is φ = 5581824.

The previous prime is 11280077. The next prime is 11280133. The reversal of 11280128 is 82108211.

It is a happy number.

11280128 is nontrivially palindromic in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35426 + ... + 35742.

Almost surely, 211280128 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 11280128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11374860).

11280128 is an abundant number, since it is smaller than the sum of its proper divisors (11469592).

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

11280128 is an equidigital number, since it uses as much as digits as its factorization.

11280128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

The square root of 11280128 is about 3358.5901804180. The cubic root of 11280128 is about 224.2700823873.

Adding to 11280128 its reverse (82108211), we get a palindrome (93388339).

The spelling of 11280128 in words is "eleven million, two hundred eighty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 139 256 278 317 556 634 1112 1268 2224 2536 4448 5072 8896 10144 17792 20288 35584 40576 44063 81152 88126 176252 352504 705008 1410016 2820032 5640064 11280128