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11666382 = 2371323929
BaseRepresentation
bin101100100000…
…001111001110
3210221201021020
4230200033032
510441311012
61054015010
7201106530
oct54401716
923851236
1011666382
116649142
123aa7466
1325561b0
141799850
151056a8c
hexb203ce

11666382 has 64 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 2939904.

The previous prime is 11666371. The next prime is 11666383. The reversal of 11666382 is 28366611.

It is a super-2 number, since 2×116663822 = 272208937939848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11666383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12094 + ... + 13022.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 211666382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11666382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

11666382 is an abundant number, since it is smaller than the sum of its proper divisors (18331698).

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

11666382 is a wasteful number, since it uses less digits than its factorization.

11666382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977.

The product of its digits is 10368, while the sum is 33.

The square root of 11666382 is about 3415.6085841326. The cubic root of 11666382 is about 226.8012258518.

The spelling of 11666382 in words is "eleven million, six hundred sixty-six thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 91 138 161 182 273 299 322 483 546 598 897 929 966 1794 1858 2093 2787 4186 5574 6279 6503 12077 12558 13006 19509 21367 24154 36231 39018 42734 64101 72462 84539 128202 149569 169078 253617 277771 299138 448707 507234 555542 833313 897414 1666626 1944397 3888794 5833191 11666382