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1006852 = 227211467
BaseRepresentation
bin11110101110100000100
31220011010211
43311310010
5224204402
633325204
711362300
oct3656404
91804124
101006852
11628510
12406804
13293392
141c2d00
1514d4d7
hexf5d04

1006852 has 36 divisors (see below), whose sum is σ = 2240784. Its totient is φ = 391440.

The previous prime is 1006847. The next prime is 1006853. The reversal of 1006852 is 2586001.

It is a happy number.

1006852 is nontrivially palindromic in base 13.

1006852 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 (22).

It is not an unprimeable number, because it can be changed into a prime (1006853) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1923 + ... + 2389.

It is an arithmetic number, because the mean of its divisors is an integer number (62244).

21006852 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 1006852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120392).

1006852 is an abundant number, since it is smaller than the sum of its proper divisors (1233932).

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

1006852 is a wasteful number, since it uses less digits than its factorization.

1006852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1006852 is about 1003.4201512826. The cubic root of 1006852 is about 100.2278803112.

The spelling of 1006852 in words is "one million, six thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 467 539 934 1078 1868 2156 3269 5137 6538 10274 13076 20548 22883 35959 45766 71918 91532 143836 251713 503426 1006852