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987066 = 236677
BaseRepresentation
bin11110000111110111010
31212011000000
43300332322
5223041231
633053430
711250513
oct3607672
91764000
10987066
11614663
123b7276
13287382
141b9a0a
151476e6
hexf0fba

987066 has 28 divisors (see below), whose sum is σ = 2223162. Its totient is φ = 328536.

The previous prime is 987061. The next prime is 987067. The reversal of 987066 is 660789.

It can be written as a sum of positive squares in only one way, i.e., 531441 + 455625 = 729^2 + 675^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 987066.

It is not an unprimeable number, because it can be changed into a prime (987061) by changing a digit.

987066 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 (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1120 + ... + 1796.

2987066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111581).

987066 is an abundant number, since it is smaller than the sum of its proper divisors (1236096).

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

987066 is an equidigital number, since it uses as much as digits as its factorization.

987066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 987066 is about 993.5119526206. The cubic root of 987066 is about 99.5669944347.

The spelling of 987066 in words is "nine hundred eighty-seven thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 677 729 1354 1458 2031 4062 6093 12186 18279 36558 54837 109674 164511 329022 493533 987066