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13820009 = 72893169
BaseRepresentation
bin110100101110…
…000001101001
3222000010111012
4310232001221
512014220014
61212113305
7225316400
oct64560151
928003435
1013820009
11788a1a5
124765835
132b2b528
141b9a637
15132ec3e
hexd2e069

13820009 has 12 divisors (see below), whose sum is σ = 16262100. Its totient is φ = 11708928.

The previous prime is 13819991. The next prime is 13820041. The reversal of 13820009 is 90002831.

It can be written as a sum of positive squares in 2 ways, for example, as 7075600 + 6744409 = 2660^2 + 2597^2 .

It is not a de Polignac number, because 13820009 - 28 = 13819753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13820509) 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 11 ways as a sum of consecutive naturals, for example, 2777 + ... + 5945.

It is an arithmetic number, because the mean of its divisors is an integer number (1355175).

Almost surely, 213820009 is an apocalyptic number.

It is an amenable number.

13820009 is a deficient number, since it is larger than the sum of its proper divisors (2442091).

13820009 is an equidigital number, since it uses as much as digits as its factorization.

13820009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 13820009 is about 3717.5272695705. The cubic root of 13820009 is about 239.9769017122.

The spelling of 13820009 in words is "thirteen million, eight hundred twenty thousand, nine".

Divisors: 1 7 49 89 623 3169 4361 22183 155281 282041 1974287 13820009