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1068580 = 225232101
BaseRepresentation
bin100000100111000100100
32000021211001
410010320210
5233143310
634523044
712040252
oct4047044
92007731
101068580
1166a927
12436484
132b54c6
141db5d2
1516193a
hex104e24

1068580 has 36 divisors (see below), whose sum is σ = 2369052. Its totient is φ = 404800.

The previous prime is 1068577. The next prime is 1068589. The reversal of 1068580 is 858601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 763876 + 304704 = 874^2 + 552^2 .

It is a super-2 number, since 2×10685802 = 2283726432800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068589) 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 11 ways as a sum of consecutive naturals, for example, 10530 + ... + 10630.

It is an arithmetic number, because the mean of its divisors is an integer number (65807).

21068580 is an apocalyptic number.

1068580 is a gapful number since it is divisible by the number (10) 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 1068580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184526).

1068580 is an abundant number, since it is smaller than the sum of its proper divisors (1300472).

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

1068580 is a wasteful number, since it uses less digits than its factorization.

1068580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 1068580 is about 1033.7214324952. The cubic root of 1068580 is about 102.2356463852.

The spelling of 1068580 in words is "one million, sixty-eight thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 101 115 202 230 404 460 505 529 1010 1058 2020 2116 2323 2645 4646 5290 9292 10580 11615 23230 46460 53429 106858 213716 267145 534290 1068580