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13947066 = 23473251
BaseRepresentation
bin110101001101…
…000010111010
3222020120210000
4311031002322
512032301231
61214533430
7226356000
oct65150272
928216700
1013947066
117966701
124807276
132b74303
141bd0a70
1513576e6
hexd4d0ba

13947066 has 80 divisors (see below), whose sum is σ = 36590400. Its totient is φ = 3969000.

The previous prime is 13947061. The next prime is 13947067. The reversal of 13947066 is 66074931.

13947066 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 13947066.

It is not an unprimeable number, because it can be changed into a prime (13947061) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55441 + ... + 55691.

It is an arithmetic number, because the mean of its divisors is an integer number (457380).

Almost surely, 213947066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13947066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295200).

13947066 is an abundant number, since it is smaller than the sum of its proper divisors (22643334).

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

13947066 is an equidigital number, since it uses as much as digits as its factorization.

13947066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 13947066 is about 3734.5770844903. The cubic root of 13947066 is about 240.7100845113.

The spelling of 13947066 in words is "thirteen million, nine hundred forty-seven thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 251 294 343 378 441 502 567 686 753 882 1029 1134 1323 1506 1757 2058 2259 2646 3087 3514 3969 4518 5271 6174 6777 7938 9261 10542 12299 13554 15813 18522 20331 24598 27783 31626 36897 40662 47439 55566 73794 86093 94878 110691 142317 172186 221382 258279 284634 332073 516558 664146 774837 996219 1549674 1992438 2324511 4649022 6973533 13947066