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11984112 = 243471321
BaseRepresentation
bin101101101101…
…110011110000
3211112212010000
4231231303300
511031442422
61104510000
7203602050
oct55556360
924485100
1011984112
116845928
12401b300
1326379ba
14183d560
1510bacac
hexb6dcf0

11984112 has 100 divisors (see below), whose sum is σ = 39670576. Its totient is φ = 3421440.

The previous prime is 11984083. The next prime is 11984129. The reversal of 11984112 is 21148911.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8412 + ... + 9732.

Almost surely, 211984112 is an apocalyptic number.

11984112 is a gapful number since it is divisible by the number (12) 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 11984112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19835288).

11984112 is an abundant number, since it is smaller than the sum of its proper divisors (27686464).

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

11984112 is a wasteful number, since it uses less digits than its factorization.

11984112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1333 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 11984112 is about 3461.8076203047. The cubic root of 11984112 is about 228.8417637750.

The spelling of 11984112 in words is "eleven million, nine hundred eighty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1321 1512 2268 2642 3024 3963 4536 5284 7926 9072 9247 10568 11889 15852 18494 21136 23778 27741 31704 35667 36988 47556 55482 63408 71334 73976 83223 95112 107001 110964 142668 147952 166446 190224 214002 221928 249669 285336 332892 428004 443856 499338 570672 665784 749007 856008 998676 1331568 1498014 1712016 1997352 2996028 3994704 5992056 11984112