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16680384 = 263372197
BaseRepresentation
bin111111101000…
…010111000000
31011101110012000
4333220113000
513232233014
61353304000
7261531600
oct77502700
934343160
1016680384
119463246
125705000
1335c0466
142302c00
1516e7509
hexfe85c0

16680384 has 168 divisors, whose sum is σ = 57332880. Its totient is φ = 4741632.

The previous prime is 16680373. The next prime is 16680403. The reversal of 16680384 is 48308661.

It is a happy number.

16680384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84574 + ... + 84770.

Almost surely, 216680384 is an apocalyptic number.

16680384 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 16680384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28666440).

16680384 is an abundant number, since it is smaller than the sum of its proper divisors (40652496).

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

16680384 is a wasteful number, since it uses less digits than its factorization.

16680384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 16680384 is about 4084.1625824641. The cubic root of 16680384 is about 255.5065363937.

The spelling of 16680384 in words is "sixteen million, six hundred eighty thousand, three hundred eighty-four".