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11004168 = 2337173853
BaseRepresentation
bin101001111110…
…100100001000
3202201001212210
4221332210020
510304113133
61031505120
7162351060
oct51764410
922631783
1011004168
11623665a
1238281a0
132383956
1416663a0
15e75763
hexa7e908

11004168 has 64 divisors (see below), whose sum is σ = 33298560. Its totient is φ = 2958336.

The previous prime is 11004167. The next prime is 11004187. The reversal of 11004168 is 86140011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004167) by changing a digit.

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, 930 + ... + 4782.

It is an arithmetic number, because the mean of its divisors is an integer number (520290).

Almost surely, 211004168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11004168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16649280).

11004168 is an abundant number, since it is smaller than the sum of its proper divisors (22294392).

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

11004168 is a wasteful number, since it uses less digits than its factorization.

11004168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 11004168 is about 3317.2530804869. The cubic root of 11004168 is about 222.4260950524.

Adding to 11004168 its reverse (86140011), we get a palindrome (97144179).

The spelling of 11004168 in words is "eleven million, four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 3853 7706 11559 15412 23118 26971 30824 46236 53942 65501 80913 92472 107884 131002 161826 196503 215768 262004 323652 393006 458507 524008 647304 786012 917014 1375521 1572024 1834028 2751042 3668056 5502084 11004168