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1326820 = 2251137163
BaseRepresentation
bin101000011111011100100
32111102001111
411003323210
5314424240
644234404
714164165
oct5037344
92442044
101326820
11826950
1253ba04
13375c01
1426776c
151b31ea
hex143ee4

1326820 has 48 divisors (see below), whose sum is σ = 3140928. Its totient is φ = 466560.

The previous prime is 1326817. The next prime is 1326821. The reversal of 1326820 is 286231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1326791 and 1326800.

It is not an unprimeable number, because it can be changed into a prime (1326821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8059 + ... + 8221.

It is an arithmetic number, because the mean of its divisors is an integer number (65436).

21326820 is an apocalyptic number.

1326820 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 1326820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570464).

1326820 is an abundant number, since it is smaller than the sum of its proper divisors (1814108).

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

1326820 is a wasteful number, since it uses less digits than its factorization.

1326820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1326820 is about 1151.8767295158. The cubic root of 1326820 is about 109.8847277298.

The spelling of 1326820 in words is "one million, three hundred twenty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 163 185 220 326 370 407 652 740 814 815 1628 1630 1793 2035 3260 3586 4070 6031 7172 8140 8965 12062 17930 24124 30155 35860 60310 66341 120620 132682 265364 331705 663410 1326820