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16680 = 2335139
BaseRepresentation
bin100000100101000
3211212210
410010220
51013210
6205120
766426
oct40450
924783
1016680
1111594
1297a0
137791
146116
154e20
hex4128

16680 has 32 divisors (see below), whose sum is σ = 50400. Its totient is φ = 4416.

The previous prime is 16673. The next prime is 16691. The reversal of 16680 is 8661.

It can be divided in two parts, 16 and 680, that added together give a palindrome (696).

16680 is nontrivially palindromic in base 14.

It is an unprimeable number.

16680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51 + ... + 189.

It is an arithmetic number, because the mean of its divisors is an integer number (1575).

216680 is an apocalyptic number.

16680 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 16680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25200).

16680 is an abundant number, since it is smaller than the sum of its proper divisors (33720).

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

16680 is a wasteful number, since it uses less digits than its factorization.

16680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 16680 is about 129.1510743277. The cubic root of 16680 is about 25.5504575702.

The spelling of 16680 in words is "sixteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 4170 5560 8340 16680