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1322020 = 225721971
BaseRepresentation
bin101000010110000100100
32111011110201
411002300210
5314301040
644200244
714144200
oct5026044
92434421
101322020
11823287
12539084
1337397b
14265b00
151b1a9a
hex142c24

1322020 has 72 divisors (see below), whose sum is σ = 3447360. Its totient is φ = 423360.

The previous prime is 1322011. The next prime is 1322021. The reversal of 1322020 is 202231.

1322020 is nontrivially palindromic in base 6.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1321988 and 1322006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322021) 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 23 ways as a sum of consecutive naturals, for example, 18585 + ... + 18655.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

21322020 is an apocalyptic number.

1322020 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 1322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723680).

1322020 is an abundant number, since it is smaller than the sum of its proper divisors (2125340).

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

1322020 is a wasteful number, since it uses less digits than its factorization.

1322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1322020 is about 1149.7912854079. The cubic root of 1322020 is about 109.7520586369.

Adding to 1322020 its reverse (202231), we get a palindrome (1524251).

The spelling of 1322020 in words is "one million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 71 76 95 98 133 140 142 190 196 245 266 284 355 380 490 497 532 665 710 931 980 994 1330 1349 1420 1862 1988 2485 2660 2698 3479 3724 4655 4970 5396 6745 6958 9310 9443 9940 13490 13916 17395 18620 18886 26980 34790 37772 47215 66101 69580 94430 132202 188860 264404 330505 661010 1322020