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16794144 = 253258313
BaseRepresentation
bin100000000010…
…0001000100000
31011121020020100
41000010020200
513244403034
61355542400
7262514343
oct100041040
934536210
1016794144
119530764
12575aa00
133630183
14233245a
15171b099
hex1004220

16794144 has 36 divisors (see below), whose sum is σ = 47759166. Its totient is φ = 5597952.

The previous prime is 16794109. The next prime is 16794149. The reversal of 16794144 is 44149761.

It can be written as a sum of positive squares in only one way, i.e., 12873744 + 3920400 = 3588^2 + 1980^2 .

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 16794099 and 16794108.

It is not an unprimeable number, because it can be changed into a prime (16794149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28869 + ... + 29444.

Almost surely, 216794144 is an apocalyptic number.

It is an amenable number.

16794144 is an abundant number, since it is smaller than the sum of its proper divisors (30965022).

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

16794144 is a wasteful number, since it uses less digits than its factorization.

16794144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58329 (or 58318 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 16794144 is about 4098.0658852683. The cubic root of 16794144 is about 256.0860713186.

The spelling of 16794144 in words is "sixteen million, seven hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 58313 116626 174939 233252 349878 466504 524817 699756 933008 1049634 1399512 1866016 2099268 2799024 4198536 5598048 8397072 16794144