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1064016 = 2434821
BaseRepresentation
bin100000011110001010000
32000001120000
410003301100
5233022031
634450000
712021042
oct4036120
92001500
101064016
11667458
12433900
132b33c5
141d9a92
151603e6
hex103c50

1064016 has 50 divisors (see below), whose sum is σ = 3083322. Its totient is φ = 354240.

The previous prime is 1063999. The next prime is 1064017. The reversal of 1064016 is 6104601.

1064016 is a `hidden beast` number, since 10 + 640 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 810000 + 254016 = 900^2 + 504^2 .

It is a super-2 number, since 2×10640162 = 2264260096512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1064016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064017) 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 9 ways as a sum of consecutive naturals, for example, 886 + ... + 1706.

21064016 is an apocalyptic number.

1064016 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 1064016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541661).

1064016 is an abundant number, since it is smaller than the sum of its proper divisors (2019306).

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

1064016 is an equidigital number, since it uses as much as digits as its factorization.

1064016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1064016 is about 1031.5115122964. The cubic root of 1064016 is about 102.0898861637.

Adding to 1064016 its reverse (6104601), we get a palindrome (7168617).

The spelling of 1064016 in words is "one million, sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 821 1296 1642 2463 3284 4926 6568 7389 9852 13136 14778 19704 22167 29556 39408 44334 59112 66501 88668 118224 133002 177336 266004 354672 532008 1064016