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16663680 = 2732511263
BaseRepresentation
bin111111100100…
…010010000000
31011100121021100
4333210102000
513231214210
61353054400
7261432105
oct77442200
934317240
1016663680
119451740
1256b7400
1335b5987
1422daaac
1516e25c0
hexfe4480

16663680 has 192 divisors, whose sum is σ = 63011520. Its totient is φ = 4024320.

The previous prime is 16663657. The next prime is 16663681. The reversal of 16663680 is 8636661.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×166636802 = 555356462284800, which contains 22 as substring.

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (16663681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63229 + ... + 63491.

It is an arithmetic number, because the mean of its divisors is an integer number (328185).

Almost surely, 216663680 is an apocalyptic number.

16663680 is a gapful number since it is divisible by the number (10) 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 16663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31505760).

16663680 is an abundant number, since it is smaller than the sum of its proper divisors (46347840).

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

16663680 is a wasteful number, since it uses less digits than its factorization.

16663680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 16663680 is about 4082.1170977815. The cubic root of 16663680 is about 255.4212184808.

The spelling of 16663680 in words is "sixteen million, six hundred sixty-three thousand, six hundred eighty".