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871220 = 22573127
BaseRepresentation
bin11010100101100110100
31122021002102
43110230310
5210334340
630401232
710256000
oct3245464
91567072
10871220
11545619
12360218
1324671c
14189700
15123215
hexd4b34

871220 has 48 divisors (see below), whose sum is σ = 2150400. Its totient is φ = 296352.

The previous prime is 871181. The next prime is 871229. The reversal of 871220 is 22178.

871220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 871192 and 871201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871229) by changing a digit.

871220 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 15 ways as a sum of consecutive naturals, for example, 6797 + ... + 6923.

It is an arithmetic number, because the mean of its divisors is an integer number (44800).

2871220 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 871220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075200).

871220 is an abundant number, since it is smaller than the sum of its proper divisors (1279180).

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

871220 is a wasteful number, since it uses less digits than its factorization.

871220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 871220 is about 933.3916648439. The cubic root of 871220 is about 95.5086292834.

Adding to 871220 its reverse (22178), we get a palindrome (893398).

The spelling of 871220 in words is "eight hundred seventy-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 127 140 196 245 254 343 490 508 635 686 889 980 1270 1372 1715 1778 2540 3430 3556 4445 6223 6860 8890 12446 17780 24892 31115 43561 62230 87122 124460 174244 217805 435610 871220