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11666416 = 243143547
BaseRepresentation
bin101100100000…
…001111110000
3210221201022111
4230200033300
510441311131
61054015104
7201106606
oct54401760
923851274
1011666416
116649173
123aa7494
132556208
141799876
151056ab1
hexb203f0

11666416 has 40 divisors (see below), whose sum is σ = 23919104. Its totient is φ = 5503680.

The previous prime is 11666407. The next prime is 11666419. The reversal of 11666416 is 61466611.

It is a super-2 number, since 2×116664162 = 272210524570112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11666419) 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, 21055 + ... + 21601.

Almost surely, 211666416 is an apocalyptic number.

11666416 is a gapful number since it is divisible by the number (16) 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 11666416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11959552).

11666416 is an abundant number, since it is smaller than the sum of its proper divisors (12252688).

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

11666416 is a wasteful number, since it uses less digits than its factorization.

11666416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 623 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 11666416 is about 3415.6135612800. The cubic root of 11666416 is about 226.8014461782.

The spelling of 11666416 in words is "eleven million, six hundred sixty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 31 43 62 86 124 172 248 344 496 547 688 1094 1333 2188 2666 4376 5332 8752 10664 16957 21328 23521 33914 47042 67828 94084 135656 188168 271312 376336 729151 1458302 2916604 5833208 11666416