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BaseRepresentation
bin100000100001101
3211211210
410010031
51013103
6205033
766360
oct40415
924753
1016653
111156a
129779
137770
1460d7
154e03
hex410d

16653 has 16 divisors (see below), whose sum is σ = 27776. Its totient is φ = 8640.

The previous prime is 16651. The next prime is 16657. The reversal of 16653 is 35661.

16653 = T22 + T23 + ... + T47.

16653 is nontrivially palindromic in base 12.

16653 is a nontrivial binomial coefficient, being equal to C(183, 2).

It is not a de Polignac number, because 16653 - 21 = 16651 is a prime.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a plaindrome in base 11.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243 + ... + 303.

It is an arithmetic number, because the mean of its divisors is an integer number (1736).

216653 is an apocalyptic number.

16653 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

16653 is the 182-nd triangular number.

It is an amenable number.

16653 is a deficient number, since it is larger than the sum of its proper divisors (11123).

16653 is a wasteful number, since it uses less digits than its factorization.

16653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84.

The product of its digits is 540, while the sum is 21.

The square root of 16653 is about 129.0465032459. The cubic root of 16653 is about 25.5366639068.

The spelling of 16653 in words is "sixteen thousand, six hundred fifty-three".