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982016 = 2107137
BaseRepresentation
bin11101111110000000000
31211220001222
43233300000
5222411031
633014212
711230010
oct3576000
91756058
10982016
11610892
123b4368
13284c99
141b7c40
15145e7b
hexefc00

982016 has 44 divisors (see below), whose sum is σ = 2259888. Its totient is φ = 417792.

The previous prime is 981983. The next prime is 982021. The reversal of 982016 is 610289.

It is a congruent number.

It is an unprimeable number.

982016 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 3 ways as a sum of consecutive naturals, for example, 7100 + ... + 7236.

2982016 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 982016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129944).

982016 is an abundant number, since it is smaller than the sum of its proper divisors (1277872).

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

982016 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 982016 = (610892)11.

982016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 982016 is about 990.9672043009. The cubic root of 982016 is about 99.3969033902.

The spelling of 982016 in words is "nine hundred eighty-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 137 224 256 274 448 512 548 896 959 1024 1096 1792 1918 2192 3584 3836 4384 7168 7672 8768 15344 17536 30688 35072 61376 70144 122752 140288 245504 491008 982016