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11984016 = 2431122697
BaseRepresentation
bin101101101101…
…110010010000
3211112211222110
4231231302100
511031442031
61104505320
7203601552
oct55556220
924484873
1011984016
116845850
12401b240
132637945
14183d4d2
1510bac46
hexb6dc90

11984016 has 40 divisors (see below), whose sum is σ = 33774624. Its totient is φ = 3631360.

The previous prime is 11984009. The next prime is 11984017. The reversal of 11984016 is 61048911.

11984016 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11984017) 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, 10821 + ... + 11876.

Almost surely, 211984016 is an apocalyptic number.

11984016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11984016 is an abundant number, since it is smaller than the sum of its proper divisors (21790608).

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

11984016 is a wasteful number, since it uses less digits than its factorization.

11984016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22719 (or 22713 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 11984016 is about 3461.7937546885. The cubic root of 11984016 is about 228.8411527196.

The spelling of 11984016 in words is "eleven million, nine hundred eighty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 22697 45394 68091 90788 136182 181576 249667 272364 363152 499334 544728 749001 998668 1089456 1498002 1997336 2996004 3994672 5992008 11984016