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13550166 = 23572569
BaseRepresentation
bin110011101100…
…001001010110
3221111102100000
4303230021112
511432101131
61202232130
7223113600
oct63541126
927442300
1013550166
117715493
124655646
132a65766
141b2a170
1512c9ce6
hexcec256

13550166 has 72 divisors (see below), whose sum is σ = 35479080. Its totient is φ = 3864672.

The previous prime is 13550153. The next prime is 13550167. The reversal of 13550166 is 66105531.

It is a happy number.

13550166 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 Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13550167) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23530 + ... + 24098.

It is an arithmetic number, because the mean of its divisors is an integer number (492765).

Almost surely, 213550166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13550166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17739540).

13550166 is an abundant number, since it is smaller than the sum of its proper divisors (21928914).

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

13550166 is an equidigital number, since it uses as much as digits as its factorization.

13550166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 13550166 is about 3681.0550118139. The cubic root of 13550166 is about 238.4047323318.

Adding to 13550166 its reverse (66105531), we get a palindrome (79655697).

The spelling of 13550166 in words is "thirteen million, five hundred fifty thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 569 882 1134 1138 1323 1701 1707 2646 3402 3414 3969 3983 5121 7938 7966 10242 11907 11949 15363 23814 23898 27881 30726 35847 46089 55762 71694 83643 92178 107541 138267 167286 215082 250929 276534 322623 501858 645246 752787 967869 1505574 1935738 2258361 4516722 6775083 13550166