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1068864 = 26319293
BaseRepresentation
bin100000100111101000000
32000022012120
410010331000
5233200424
634524240
712041136
oct4047500
92008176
101068864
11670065
12436680
132b5684
141db756
15161a79
hex104f40

1068864 has 56 divisors (see below), whose sum is σ = 2987040. Its totient is φ = 336384.

The previous prime is 1068857. The next prime is 1068871. The reversal of 1068864 is 4688601.

It is an interprime number because it is at equal distance from previous prime (1068857) and next prime (1068871).

It is a super-2 number, since 2×10688642 = 2284940500992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3502 + ... + 3794.

It is an arithmetic number, because the mean of its divisors is an integer number (53340).

21068864 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 1068864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493520).

1068864 is an abundant number, since it is smaller than the sum of its proper divisors (1918176).

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

1068864 is a wasteful number, since it uses less digits than its factorization.

1068864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1068864 is about 1033.8587911316. The cubic root of 1068864 is about 102.2447027502.

The spelling of 1068864 in words is "one million, sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 293 304 456 586 608 879 912 1172 1216 1758 1824 2344 3516 3648 4688 5567 7032 9376 11134 14064 16701 18752 22268 28128 33402 44536 56256 66804 89072 133608 178144 267216 356288 534432 1068864