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16680168 = 233425741
BaseRepresentation
bin111111101000…
…010011101000
31011101102220000
4333220103220
513232231133
61353303000
7261531141
oct77502350
934342800
1016680168
11946306a
125704a60
1335c032b
142302ac8
1516e7413
hexfe84e8

16680168 has 40 divisors (see below), whose sum is σ = 46721730. Its totient is φ = 5559840.

The previous prime is 16680163. The next prime is 16680199. The reversal of 16680168 is 86108661.

It can be written as a sum of positive squares in only one way, i.e., 12830724 + 3849444 = 3582^2 + 1962^2 .

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

It is not an unprimeable number, because it can be changed into a prime (16680163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12223 + ... + 13518.

Almost surely, 216680168 is an apocalyptic number.

16680168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16680168 is an abundant number, since it is smaller than the sum of its proper divisors (30041562).

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

16680168 is a wasteful number, since it uses less digits than its factorization.

16680168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25759 (or 25746 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 16680168 is about 4084.1361387691. The cubic root of 16680168 is about 255.5054335085.

The spelling of 16680168 in words is "sixteen million, six hundred eighty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 25741 51482 77223 102964 154446 205928 231669 308892 463338 617784 695007 926676 1390014 1853352 2085021 2780028 4170042 5560056 8340084 16680168