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1014016 = 2817233
BaseRepresentation
bin11110111100100000000
31220111222011
43313210000
5224422031
633422304
711422213
oct3674400
91814864
101014016
11632933
1240a994
13296713
141c577a
151506b1
hexf7900

1014016 has 36 divisors (see below), whose sum is σ = 2152332. Its totient is φ = 475136.

The previous prime is 1014007. The next prime is 1014029. The reversal of 1014016 is 6104101.

It can be written as a sum of positive squares in 2 ways, for example, as 495616 + 518400 = 704^2 + 720^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1013987 and 1014005.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4236 + ... + 4468.

It is an arithmetic number, because the mean of its divisors is an integer number (59787).

21014016 is an apocalyptic number.

1014016 is a gapful number since it is divisible by the number (16) 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 1014016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076166).

1014016 is an abundant number, since it is smaller than the sum of its proper divisors (1138316).

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

1014016 is an equidigital number, since it uses as much as digits as its factorization.

1014016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1014016 is about 1006.9836145638. The cubic root of 1014016 is about 100.4650340808.

Adding to 1014016 its reverse (6104101), we get a palindrome (7118117).

The spelling of 1014016 in words is "one million, fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 233 256 272 466 544 932 1088 1864 2176 3728 3961 4352 7456 7922 14912 15844 29824 31688 59648 63376 126752 253504 507008 1014016