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BaseRepresentation
bin11111100000001
3211010101
43330001
51004004
6202401
765011
oct37401
924111
1016129
1111133
129401
137459
145c41
154ba4
hex3f01

16129 has 3 divisors (see below), whose sum is σ = 16257. Its totient is φ = 16002.

The previous prime is 16127. The next prime is 16139. The reversal of 16129 is 92161.

Subtracting from 16129 its sum of digits (19), we obtain a triangular number (16110 = T179).

It can be divided in two parts, 161 and 29, that added together give a triangular number (190 = T19).

16129 = T126 + T127.

The square root of 16129 is 127.

It is a perfect power (a square), and thus also a powerful number.

16129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 92161 = 234007.

It is not a de Polignac number, because 16129 - 21 = 16127 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (16127) 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 in 2 ways as a sum of consecutive naturals, for example, 64 + ... + 190.

It is an arithmetic number, because the mean of its divisors is an integer number (5419).

It is a Proth number, since it is equal to 63 ⋅ 28 + 1 and 63 < 28.

216129 is an apocalyptic number.

16129 is the 127-th square number.

16129 is the 64-th centered octagonal number.

It is an amenable number.

16129 is a deficient number, since it is larger than the sum of its proper divisors (128).

16129 is an frugal number, since it uses more digits than its factorization.

16129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 127 counting only the distinct ones).

The product of its digits is 108, while the sum is 19.

The cubic root of 16129 is about 25.2659605656.

The spelling of 16129 in words is "sixteen thousand, one hundred twenty-nine".

Divisors: 1 127 16129