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11196064 = 2511171871
BaseRepresentation
bin101010101101…
…011010100000
3210001211010001
4222231122200
510331233224
61035545344
7164110405
oct52553240
923054101
1011196064
116357850
1238bb254
1324200b9
1416b62ac
15eb2544
hexaad6a0

11196064 has 48 divisors (see below), whose sum is σ = 25474176. Its totient is φ = 4787200.

The previous prime is 11196037. The next prime is 11196071. The reversal of 11196064 is 46069111.

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 7 ways as a sum of consecutive naturals, for example, 5049 + ... + 6919.

It is an arithmetic number, because the mean of its divisors is an integer number (530712).

Almost surely, 211196064 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 11196064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12737088).

11196064 is an abundant number, since it is smaller than the sum of its proper divisors (14278112).

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

11196064 is a wasteful number, since it uses less digits than its factorization.

11196064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 11196064 is about 3346.0520019868. The cubic root of 11196064 is about 223.7115760617.

The spelling of 11196064 in words is "eleven million, one hundred ninety-six thousand, sixty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 1871 2992 3742 5984 7484 14968 20581 29936 31807 41162 59872 63614 82324 127228 164648 254456 329296 349877 508912 658592 699754 1017824 1399508 2799016 5598032 11196064