Search a number
-
+
850120 = 23553401
BaseRepresentation
bin11001111100011001000
31121012010221
43033203020
5204200440
630115424
710140325
oct3174310
91535127
10850120
11530787
1234bb74
13239c3b
14181b4c
1511bd4a
hexcf8c8

850120 has 32 divisors (see below), whose sum is σ = 1953720. Its totient is φ = 332800.

The previous prime is 850093. The next prime is 850121. The reversal of 850120 is 21058.

It is a happy number.

850120 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 4 ways, for example, as 850084 + 36 = 922^2 + 6^2 .

It is a junction number, because it is equal to n+sod(n) for n = 850094 and 850103.

It is not an unprimeable number, because it can be changed into a prime (850121) by changing a digit.

850120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1920 + ... + 2320.

2850120 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 850120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976860).

850120 is an abundant number, since it is smaller than the sum of its proper divisors (1103600).

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

850120 is a wasteful number, since it uses less digits than its factorization.

850120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 850120 is about 922.0195225699. The cubic root of 850120 is about 94.7312812417.

Adding to 850120 its reverse (21058), we get a palindrome (871178).

It can be divided in two parts, 8 and 50120, that multiplied together give a triangular number (400960 = T895).

The spelling of 850120 in words is "eight hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 401 424 530 802 1060 1604 2005 2120 3208 4010 8020 16040 21253 42506 85012 106265 170024 212530 425060 850120