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11171328 = 29371039
BaseRepresentation
bin101010100111…
…011000000000
3210000120011220
4222213120000
510324440303
61035235040
7163645320
oct52473000
923016156
1011171328
116340203
1238a8a80
132411a6c
1416ab280
15eaa053
hexaa7600

11171328 has 80 divisors (see below), whose sum is σ = 34045440. Its totient is φ = 3188736.

The previous prime is 11171327. The next prime is 11171333. The reversal of 11171328 is 82317111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 11171298 and 11171307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11171323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10233 + ... + 11271.

It is an arithmetic number, because the mean of its divisors is an integer number (425568).

Almost surely, 211171328 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 11171328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17022720).

11171328 is an abundant number, since it is smaller than the sum of its proper divisors (22874112).

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

11171328 is an equidigital number, since it uses as much as digits as its factorization.

11171328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1051 counting only the distinct ones).

The product of its digits is 336, while the sum is 24.

The square root of 11171328 is about 3342.3536617180. The cubic root of 11171328 is about 223.5467023505.

Adding to 11171328 its reverse (82317111), we get a palindrome (93488439).

The spelling of 11171328 in words is "eleven million, one hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1039 1344 1536 1792 2078 2688 3117 3584 4156 5376 6234 7273 8312 10752 12468 14546 16624 21819 24936 29092 33248 43638 49872 58184 66496 87276 99744 116368 132992 174552 199488 232736 265984 349104 398976 465472 531968 698208 797952 930944 1396416 1595904 1861888 2792832 3723776 5585664 11171328