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1086520 = 235231181
BaseRepresentation
bin100001001010000111000
32001012102111
410021100320
5234232040
635142104
712143461
oct4112070
92035374
101086520
11682356
12444934
132c0716
14203d68
15166dea
hex109438

1086520 has 32 divisors (see below), whose sum is σ = 2553120. Its totient is φ = 415360.

The previous prime is 1086511. The next prime is 1086523. The reversal of 1086520 is 256801.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1086491 and 1086500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330 + ... + 1510.

It is an arithmetic number, because the mean of its divisors is an integer number (79785).

21086520 is an apocalyptic number.

1086520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1086520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276560).

1086520 is an abundant number, since it is smaller than the sum of its proper divisors (1466600).

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

1086520 is a wasteful number, since it uses less digits than its factorization.

1086520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1211 counting only the distinct ones).

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

The square root of 1086520 is about 1042.3627007909. The cubic root of 1086520 is about 102.8046064745.

The spelling of 1086520 in words is "one million, eighty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1181 2362 4724 5905 9448 11810 23620 27163 47240 54326 108652 135815 217304 271630 543260 1086520