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11064168 = 2333181283
BaseRepresentation
bin101010001101…
…001101101000
3202211010012000
4222031031220
510313023133
61033051000
7163021023
oct52151550
922733160
1011064168
116277745
123856a60
1323a505b
1416801ba
15e88413
hexa8d368

11064168 has 64 divisors (see below), whose sum is σ = 31012800. Its totient is φ = 3654720.

The previous prime is 11064103. The next prime is 11064191. The reversal of 11064168 is 86146011.

11064168 is a `hidden beast` number, since 1 + 10 + 641 + 6 + 8 = 666.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 38955 + ... + 39237.

It is an arithmetic number, because the mean of its divisors is an integer number (484575).

Almost surely, 211064168 is an apocalyptic number.

11064168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11064168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15506400).

11064168 is an abundant number, since it is smaller than the sum of its proper divisors (19948632).

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

11064168 is a wasteful number, since it uses less digits than its factorization.

11064168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11064168 is about 3326.2844135762. The cubic root of 11064168 is about 222.8296204389.

The spelling of 11064168 in words is "eleven million, sixty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 181 216 283 362 543 566 724 849 1086 1132 1448 1629 1698 2172 2264 2547 3258 3396 4344 4887 5094 6516 6792 7641 9774 10188 13032 15282 19548 20376 30564 39096 51223 61128 102446 153669 204892 307338 409784 461007 614676 922014 1229352 1383021 1844028 2766042 3688056 5532084 11064168