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816080 = 2451012
BaseRepresentation
bin11000111001111010000
31112110110012
43013033100
5202103310
625254052
76636146
oct3071720
91473405
10816080
11508151
12334328
132275b5
14173596
15111c05
hexc73d0

816080 has 30 divisors (see below), whose sum is σ = 1916358. Its totient is φ = 323200.

The previous prime is 816077. The next prime is 816091. The reversal of 816080 is 80618.

816080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 506944 + 309136 = 712^2 + 556^2 .

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 816080.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8030 + ... + 8130.

2816080 is an apocalyptic number.

816080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958179).

816080 is an abundant number, since it is smaller than the sum of its proper divisors (1100278).

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

816080 is a wasteful number, since it uses less digits than its factorization.

816080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 816080 is about 903.3714629099. The cubic root of 816080 is about 93.4496282769.

Adding to 816080 its reverse (80618), we get a palindrome (896698).

The spelling of 816080 in words is "eight hundred sixteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 10201 20402 40804 51005 81608 102010 163216 204020 408040 816080