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16029 = 3213137
BaseRepresentation
bin11111010011101
3210222200
43322131
51003104
6202113
764506
oct37235
923880
1016029
1111052
129339
1373b0
145bad
154b39
hex3e9d

16029 has 12 divisors (see below), whose sum is σ = 25116. Its totient is φ = 9792.

The previous prime is 16007. The next prime is 16033. The reversal of 16029 is 92061.

16029 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 2 ways, for example, as 5625 + 10404 = 75^2 + 102^2 .

It is not a de Polignac number, because 16029 - 27 = 15901 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49 + ... + 185.

It is an arithmetic number, because the mean of its divisors is an integer number (2093).

216029 is an apocalyptic number.

It is an amenable number.

16029 is a deficient number, since it is larger than the sum of its proper divisors (9087).

16029 is a wasteful number, since it uses less digits than its factorization.

16029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 16029 is about 126.6056870761. The cubic root of 16029 is about 25.2136358553.

The spelling of 16029 in words is "sixteen thousand, twenty-nine".

Divisors: 1 3 9 13 39 117 137 411 1233 1781 5343 16029