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16408 = 237293
BaseRepresentation
bin100000000011000
3211111201
410000120
51011113
6203544
765560
oct40030
924451
1016408
1111367
1295b4
137612
145da0
154cdd
hex4018

16408 has 16 divisors (see below), whose sum is σ = 35280. Its totient is φ = 7008.

The previous prime is 16381. The next prime is 16411. The reversal of 16408 is 80461.

It is a plaindrome in base 11 and base 15.

It is a congruent number.

It is an unprimeable number.

16408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 91 + ... + 202.

It is an arithmetic number, because the mean of its divisors is an integer number (2205).

216408 is an apocalyptic number.

It is an amenable number.

16408 is an abundant number, since it is smaller than the sum of its proper divisors (18872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17640).

16408 is a wasteful number, since it uses less digits than its factorization.

16408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 16408 is about 128.0937156928. The cubic root of 16408 is about 25.4108123517.

Adding to 16408 its reverse (80461), we get a palindrome (96869).

It can be divided in two parts, 16 and 408, that added together give a palindrome (424).

The spelling of 16408 in words is "sixteen thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 28 56 293 586 1172 2051 2344 4102 8204 16408