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1330829565 = 351323296729
BaseRepresentation
bin100111101010010…
…1101100011111101
310102202012010221220
41033110231203331
510211143021230
6340020143553
744656602402
oct11724554375
93382163856
101330829565
11623244a4a
12311837bb9
13182940720
14c8a682a9
157bc7ed10
hex4f52d8fd

1330829565 has 32 divisors (see below), whose sum is σ = 2392830720. Its totient is φ = 626689536.

The previous prime is 1330829557. The next prime is 1330829569. The reversal of 1330829565 is 5659280331.

It is not a de Polignac number, because 1330829565 - 23 = 1330829557 is a prime.

It is a super-2 number, since 2×13308295652 = 3542214662156178450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330829569) by changing a digit.

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, 143880 + ... + 152849.

It is an arithmetic number, because the mean of its divisors is an integer number (74775960).

Almost surely, 21330829565 is an apocalyptic number.

1330829565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1330829565 is a deficient number, since it is larger than the sum of its proper divisors (1062001155).

1330829565 is a wasteful number, since it uses less digits than its factorization.

1330829565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296773.

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 1330829565 is about 36480.5367970374. The cubic root of 1330829565 is about 1099.9530462052.

The spelling of 1330829565 in words is "one billion, three hundred thirty million, eight hundred twenty-nine thousand, five hundred sixty-five".

Divisors: 1 3 5 13 15 23 39 65 69 115 195 299 345 897 1495 4485 296729 890187 1483645 3857477 4450935 6824767 11572431 19287385 20474301 34123835 57862155 88721971 102371505 266165913 443609855 1330829565