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11983664 = 2471171137
BaseRepresentation
bin101101101101…
…101100110000
3211112211111102
4231231230300
511031434124
61104503532
7203600540
oct55555460
924484442
1011983664
116845560
12401aba8
132637734
14183d320
1510baaae
hexb6db30

11983664 has 80 divisors (see below), whose sum is σ = 29569536. Its totient is φ = 4569600.

The previous prime is 11983663. The next prime is 11983669. The reversal of 11983664 is 46638911.

It is not an unprimeable number, because it can be changed into a prime (11983663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87404 + ... + 87540.

Almost surely, 211983664 is an apocalyptic number.

11983664 is a gapful number since it is divisible by the number (14) 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 11983664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14784768).

11983664 is an abundant number, since it is smaller than the sum of its proper divisors (17585872).

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

11983664 is a wasteful number, since it uses less digits than its factorization.

11983664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 11983664 is about 3461.7429136202. The cubic root of 11983664 is about 228.8389121553.

The spelling of 11983664 in words is "eleven million, nine hundred eighty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 71 77 88 112 137 142 154 176 274 284 308 497 548 568 616 781 959 994 1096 1136 1232 1507 1562 1918 1988 2192 3014 3124 3836 3976 5467 6028 6248 7672 7952 9727 10549 10934 12056 12496 15344 19454 21098 21868 24112 38908 42196 43736 68089 77816 84392 87472 106997 136178 155632 168784 213994 272356 427988 544712 748979 855976 1089424 1497958 1711952 2995916 5991832 11983664