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12170016 = 253242257
BaseRepresentation
bin101110011011…
…001100100000
3211220022010100
4232123030200
511103420031
61112502400
7205305045
oct56331440
924808110
1012170016
116962571
1240aaa00
1326a14c1
14188b1cc
151105de6
hexb9b320

12170016 has 36 divisors (see below), whose sum is σ = 34609302. Its totient is φ = 4056576.

The previous prime is 12170009. The next prime is 12170017. The reversal of 12170016 is 61007121.

It can be written as a sum of positive squares in only one way, i.e., 10265616 + 1904400 = 3204^2 + 1380^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12170017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20841 + ... + 21416.

Almost surely, 212170016 is an apocalyptic number.

12170016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12170016 is an abundant number, since it is smaller than the sum of its proper divisors (22439286).

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

12170016 is a wasteful number, since it uses less digits than its factorization.

12170016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42273 (or 42262 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 12170016 is about 3488.5550017163. Note that the first 3 decimals coincide. The cubic root of 12170016 is about 230.0190028408.

Adding to 12170016 its reverse (61007121), we get a palindrome (73177137).

The spelling of 12170016 in words is "twelve million, one hundred seventy thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 42257 84514 126771 169028 253542 338056 380313 507084 676112 760626 1014168 1352224 1521252 2028336 3042504 4056672 6085008 12170016