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13830066 = 23289297
BaseRepresentation
bin110100110000…
…011110110010
3222000122021200
4310300132302
512020030231
61212232030
7225360615
oct64603662
928018250
1013830066
117896808
12476b616
132b32c93
141ba017c
151332be6
hexd307b2

13830066 has 36 divisors (see below), whose sum is σ = 30618042. Its totient is φ = 4511232.

The previous prime is 13830059. The next prime is 13830101. The reversal of 13830066 is 66003831.

13830066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 7403841 + 6426225 = 2721^2 + 2535^2 .

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 142530 + ... + 142626.

Almost surely, 213830066 is an apocalyptic number.

13830066 is an abundant number, since it is smaller than the sum of its proper divisors (16787976).

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

13830066 is an equidigital number, since it uses as much as digits as its factorization.

13830066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13830066 is about 3718.8796700082. The cubic root of 13830066 is about 240.0350990333.

Adding to 13830066 its reverse (66003831), we get a palindrome (79833897).

The spelling of 13830066 in words is "thirteen million, eight hundred thirty thousand, sixty-six".

Divisors: 1 2 3 6 9 18 89 97 178 194 267 291 534 582 801 873 1602 1746 7921 8633 15842 17266 23763 25899 47526 51798 71289 77697 142578 155394 768337 1536674 2305011 4610022 6915033 13830066