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16419 = 313421
BaseRepresentation
bin100000000100011
3211112010
410000203
51011134
6204003
765604
oct40043
924463
1016419
1111377
129603
137620
145dab
154ce9
hex4023

16419 has 8 divisors (see below), whose sum is σ = 23632. Its totient is φ = 10080.

The previous prime is 16417. The next prime is 16421. The reversal of 16419 is 91461.

Added to its reverse (91461) it gives a triangular number (107880 = T464).

It is an interprime number because it is at equal distance from previous prime (16417) and next prime (16421).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 16419 - 21 = 16417 is a prime.

It is a super-2 number, since 2×164192 = 539167122, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 16395 and 16404.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16419.

It is not an unprimeable number, because it can be changed into a prime (16411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172 + ... + 249.

It is an arithmetic number, because the mean of its divisors is an integer number (2954).

216419 is an apocalyptic number.

16419 is a deficient number, since it is larger than the sum of its proper divisors (7213).

16419 is a wasteful number, since it uses less digits than its factorization.

16419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437.

The product of its digits is 216, while the sum is 21.

The square root of 16419 is about 128.1366458122. The cubic root of 16419 is about 25.4164895924.

Adding to 16419 its reverse (91461), we get a triangular number (107880 = T464).

It can be divided in two parts, 16 and 419, that added together give a triangular number (435 = T29).

The spelling of 16419 in words is "sixteen thousand, four hundred nineteen".

Divisors: 1 3 13 39 421 1263 5473 16419