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13963266 = 23661157
BaseRepresentation
bin110101010001…
…000000000010
3222021102000000
4311101000002
512033311031
61215140430
7226454142
oct65210002
928242000
1013963266
117977899
124814716
132b7b7b5
141bd6922
15135c3e6
hexd51002

13963266 has 56 divisors (see below), whose sum is σ = 32121084. Its totient is φ = 4548960.

The previous prime is 13963259. The next prime is 13963267. The reversal of 13963266 is 66236931.

13963266 is a `hidden beast` number, since 1 + 396 + 3 + 266 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11758041 + 2205225 = 3429^2 + 1485^2 .

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13963266.

It is not an unprimeable number, because it can be changed into a prime (13963267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 88860 + ... + 89016.

Almost surely, 213963266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13963266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16060542).

13963266 is an abundant number, since it is smaller than the sum of its proper divisors (18157818).

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

13963266 is an equidigital number, since it uses as much as digits as its factorization.

13963266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 223 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 13963266 is about 3736.7453753233. The cubic root of 13963266 is about 240.8032461493.

The spelling of 13963266 in words is "thirteen million, nine hundred sixty-three thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 157 162 183 243 314 366 471 486 549 729 942 1098 1413 1458 1647 2826 3294 4239 4941 8478 9577 9882 12717 14823 19154 25434 28731 29646 38151 44469 57462 76302 86193 88938 114453 172386 228906 258579 517158 775737 1551474 2327211 4654422 6981633 13963266