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1300020410 = 251329615653
BaseRepresentation
bin100110101111100…
…1011110010111010
310100121012212202002
41031133023302322
510130301123120
6332555541002
744133663653
oct11537136272
93317185662
101300020410
11607911637
1230345a762
13179444360
14c492852a
15791e6375
hex4d7cbcba

1300020410 has 64 divisors (see below), whose sum is σ = 2650142880. Its totient is φ = 455777280.

The previous prime is 1300020377. The next prime is 1300020431. The reversal of 1300020410 is 140200031.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 201601 + 1299818809 = 449^2 + 36053^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1300020391 and 1300020400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227144 + ... + 232796.

Almost surely, 21300020410 is an apocalyptic number.

1300020410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1300020410 is an abundant number, since it is smaller than the sum of its proper divisors (1350122470).

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

1300020410 is a wasteful number, since it uses less digits than its factorization.

1300020410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5763.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1300020410 is about 36055.7957893041. The cubic root of 1300020410 is about 1091.3985946540.

Adding to 1300020410 its reverse (140200031), we get a palindrome (1440220441).

The spelling of 1300020410 in words is "one billion, three hundred million, twenty thousand, four hundred ten".

Divisors: 1 2 5 10 13 26 29 58 61 65 122 130 145 290 305 377 610 754 793 1586 1769 1885 3538 3770 3965 5653 7930 8845 11306 17690 22997 28265 45994 56530 73489 114985 146978 163937 229970 327874 344833 367445 689666 734890 819685 1639370 1724165 2131181 3448330 4262362 4482829 8965658 10000157 10655905 20000314 21311810 22414145 44828290 50000785 100001570 130002041 260004082 650010205 1300020410