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11645328 = 243191132
BaseRepresentation
bin101100011011…
…000110010000
3210220122101110
4230123012100
510440122303
61053333320
7200661252
oct54330620
923818343
1011645328
116634342
123a97240
132549736
141791cd2
151050703
hexb1b190

11645328 has 60 divisors (see below), whose sum is σ = 31949840. Its totient is φ = 3644928.

The previous prime is 11645317. The next prime is 11645329. The reversal of 11645328 is 82354611.

It is a super-2 number, since 2×116453282 = 271227328455168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11645295 and 11645304.

It is not an unprimeable number, because it can be changed into a prime (11645329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103000 + ... + 103112.

Almost surely, 211645328 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 11645328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15974920).

11645328 is an abundant number, since it is smaller than the sum of its proper divisors (20304512).

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

11645328 is a wasteful number, since it uses less digits than its factorization.

11645328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 137 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 11645328 is about 3412.5251647424. The cubic root of 11645328 is about 226.6647097101.

Adding to 11645328 its reverse (82354611), we get a palindrome (93999939).

The spelling of 11645328 in words is "eleven million, six hundred forty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 113 114 152 226 228 304 339 452 456 678 904 912 1356 1808 2147 2712 4294 5424 6441 8588 12769 12882 17176 25538 25764 34352 38307 51076 51528 76614 102152 103056 153228 204304 242611 306456 485222 612912 727833 970444 1455666 1940888 2911332 3881776 5822664 11645328