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16450 = 252747
BaseRepresentation
bin100000001000010
3211120021
410001002
51011300
6204054
765650
oct40102
924507
1016450
11113a5
12962a
137645
145dd0
154d1a
hex4042

• 16450 is the only known number n such that adding all the numbers 0.d, where d are the divisors of n, we obtain an integer number. Here, 0.1 + 0.2 + 0.5 + 0.7 + 0.10 + 0.14 + 0.25 + 0.35 + 0.47 + 0.50 + 0.70 + 0.94 + 0.175 + 0.235 + 0.329 + 0.350 + 0.470 + 0.658 + 0.1175 + 0.1645 + 0.2350 + 0.3290 + 0.8225 + 0.16450 = 9.


16450 has 24 divisors (see below), whose sum is σ = 35712. Its totient is φ = 5520.

The previous prime is 16447. The next prime is 16451. The reversal of 16450 is 5461.

It is a super-3 number, since 3×164503 = 13354233375000, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16451) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 327 + ... + 373.

It is an arithmetic number, because the mean of its divisors is an integer number (1488).

216450 is an apocalyptic number.

16450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16450 is an abundant number, since it is smaller than the sum of its proper divisors (19262).

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 (17856).

16450 is a wasteful number, since it uses less digits than its factorization.

16450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 16450 is about 128.2575533838. The cubic root of 16450 is about 25.4324754588.

The spelling of 16450 in words is "sixteen thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 47 50 70 94 175 235 329 350 470 658 1175 1645 2350 3290 8225 16450