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16144 = 241009
BaseRepresentation
bin11111100010000
3211010221
43330100
51004034
6202424
765032
oct37420
924127
1016144
1111147
129414
13746b
145c52
154bb4
hex3f10

16144 has 10 divisors (see below), whose sum is σ = 31310. Its totient is φ = 8064.

The previous prime is 16141. The next prime is 16183. The reversal of 16144 is 44161.

It is a happy number.

16144 is nontrivially palindromic in base 15.

16144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12544 + 3600 = 112^2 + 60^2 .

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 1009 = 16144 / (1 + 6 + 1 + 4 + 4).

16144 is a modest number, since divided by 144 gives 16 as remainder.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (16141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 489 + ... + 520.

It is an arithmetic number, because the mean of its divisors is an integer number (3131).

216144 is an apocalyptic number.

It is an amenable number.

16144 is a deficient number, since it is larger than the sum of its proper divisors (15166).

16144 is a wasteful number, since it uses less digits than its factorization.

16144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1011 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 16144 is about 127.0590413941. The cubic root of 16144 is about 25.2737906023.

It can be divided in two parts, 16 and 144, that multiplied together give a square (2304 = 482).

The spelling of 16144 in words is "sixteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 1009 2018 4036 8072 16144