[go: up one dir, main page]

Search a number
-
+
800120 = 23583241
BaseRepresentation
bin11000011010101111000
31111122120002
43003111320
5201100440
625052132
76541466
oct3032570
91448502
10800120
114a7162
12327048
13220259
1416b836
1510c115
hexc3578

800120 has 32 divisors (see below), whose sum is σ = 1829520. Its totient is φ = 314880.

The previous prime is 800119. The next prime is 800123. The reversal of 800120 is 21008.

800120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

800120 is a modest number, since divided by 120 gives 80 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800123) 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, 3200 + ... + 3440.

2800120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914760).

800120 is an abundant number, since it is smaller than the sum of its proper divisors (1029400).

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

800120 is a wasteful number, since it uses less digits than its factorization.

800120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 800120 is about 894.4942705239. The cubic root of 800120 is about 92.8364180290.

Adding to 800120 its reverse (21008), we get a palindrome (821128).

The spelling of 800120 in words is "eight hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 166 241 332 415 482 664 830 964 1205 1660 1928 2410 3320 4820 9640 20003 40006 80012 100015 160024 200030 400060 800120