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1305020 = 225232837
BaseRepresentation
bin100111110100110111100
32110022011002
410332212330
5313230040
643545432
714043503
oct4764674
92408132
101305020
11811532
1252b278
13369002
1425d83a
151aba15
hex13e9bc

1305020 has 24 divisors (see below), whose sum is σ = 2860704. Its totient is φ = 499136.

The previous prime is 1305013. The next prime is 1305047. The reversal of 1305020 is 205031.

1305020 = T720 + T721 + ... + T724.

1305020 is nontrivially palindromic in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 1304992 and 1305010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 959 + ... + 1878.

It is an arithmetic number, because the mean of its divisors is an integer number (119196).

21305020 is an apocalyptic number.

1305020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305020 is an abundant number, since it is smaller than the sum of its proper divisors (1555684).

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

1305020 is a wasteful number, since it uses less digits than its factorization.

1305020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 1305020 is about 1142.3747196082. The cubic root of 1305020 is about 109.2795897208.

Adding to 1305020 its sum of digits (11), we get a palindrome (1305031).

The spelling of 1305020 in words is "one million, three hundred five thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 2837 5674 11348 14185 28370 56740 65251 130502 261004 326255 652510 1305020