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856020 = 2235111297
BaseRepresentation
bin11010000111111010100
31121111020110
43100333110
5204343040
630203020
710163454
oct3207724
91544213
10856020
11535160
12353470
1323c829
14183d64
1511d980
hexd0fd4

856020 has 48 divisors (see below), whose sum is σ = 2616768. Its totient is φ = 207360.

The previous prime is 855997. The next prime is 856021. The reversal of 856020 is 20658.

856020 = T389 + T390 + ... + T399.

It is a happy number.

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 856020.

It is not an unprimeable number, because it can be changed into a prime (856021) by changing a digit.

856020 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12 + ... + 1308.

It is an arithmetic number, because the mean of its divisors is an integer number (54516).

2856020 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 856020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308384).

856020 is an abundant number, since it is smaller than the sum of its proper divisors (1760748).

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

856020 is a wasteful number, since it uses less digits than its factorization.

856020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 856020 is about 925.2134888770. The cubic root of 856020 is about 94.9499274444.

Adding to 856020 its reverse (20658), we get a palindrome (876678).

It can be divided in two parts, 85 and 6020, that added together give a triangular number (6105 = T110).

The spelling of 856020 in words is "eight hundred fifty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1297 2594 3891 5188 6485 7782 12970 14267 15564 19455 25940 28534 38910 42801 57068 71335 77820 85602 142670 171204 214005 285340 428010 856020