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1064268 = 2232173747
BaseRepresentation
bin100000011110101001100
32000001220100
410003311030
5233024033
634451100
712021552
oct4036514
92001810
101064268
11667667
12433a90
132b355a
141d9bd2
15160513
hex103d4c

1064268 has 72 divisors (see below), whose sum is σ = 2987712. Its totient is φ = 317952.

The previous prime is 1064263. The next prime is 1064269. The reversal of 1064268 is 8624601.

1064268 is a `hidden beast` number, since 10 + 642 + 6 + 8 = 666.

It is a super-2 number, since 2×10642682 = 2265332751648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1064263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22621 + ... + 22667.

It is an arithmetic number, because the mean of its divisors is an integer number (41496).

21064268 is an apocalyptic number.

1064268 is a gapful number since it is divisible by the number (18) 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 1064268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493856).

1064268 is an abundant number, since it is smaller than the sum of its proper divisors (1923444).

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

1064268 is a wasteful number, since it uses less digits than its factorization.

1064268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1064268 is about 1031.6336559070. The cubic root of 1064268 is about 102.0979451341.

Adding to 1064268 its reverse (8624601), we get a palindrome (9688869).

The spelling of 1064268 in words is "one million, sixty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 47 51 68 74 94 102 111 141 148 153 188 204 222 282 306 333 423 444 564 612 629 666 799 846 1258 1332 1598 1692 1739 1887 2397 2516 3196 3478 3774 4794 5217 5661 6956 7191 7548 9588 10434 11322 14382 15651 20868 22644 28764 29563 31302 59126 62604 88689 118252 177378 266067 354756 532134 1064268