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16257 = 35419
BaseRepresentation
bin11111110000001
3211022010
43332001
51010012
6203133
765253
oct37601
924263
1016257
111123a
1294a9
137527
145cd3
154c3c
hex3f81

16257 has 4 divisors (see below), whose sum is σ = 21680. Its totient is φ = 10836.

The previous prime is 16253. The next prime is 16267. The reversal of 16257 is 75261.

16257 is digitally balanced in base 3, 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 Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 75261 = 325087.

It is not a de Polignac number, because 16257 - 22 = 16253 is a prime.

It is a D-number.

It is the 128-th Hogben number.

It is a Duffinian number.

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16257.

It is not an unprimeable number, because it can be changed into a prime (16253) by changing a digit.

It is a nontrivial repunit in base 127.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2707 + ... + 2712.

It is an arithmetic number, because the mean of its divisors is an integer number (5420).

It is a Proth number, since it is equal to 127 ⋅ 27 + 1 and 127 < 27.

216257 is an apocalyptic number.

It is an amenable number.

16257 is a deficient number, since it is larger than the sum of its proper divisors (5423).

16257 is an equidigital number, since it uses as much as digits as its factorization.

16257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5422.

The product of its digits is 420, while the sum is 21.

The square root of 16257 is about 127.5029411425. The cubic root of 16257 is about 25.3326215559.

The spelling of 16257 in words is "sixteen thousand, two hundred fifty-seven".

Divisors: 1 3 5419 16257