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11064096 = 253241937
BaseRepresentation
bin101010001101…
…001100100000
3202211010002100
4222031030200
510313022341
61033050400
7163020561
oct52151440
922733070
1011064096
11627768a
123856a00
1323a5004
141680168
15e883b6
hexa8d320

11064096 has 72 divisors (see below), whose sum is σ = 32265324. Its totient is φ = 3594240.

The previous prime is 11064091. The next prime is 11064103. The reversal of 11064096 is 69046011.

11064096 is a `hidden beast` number, since 1 + 10 + 640 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7952400 + 3111696 = 2820^2 + 1764^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11064091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11340 + ... + 12276.

Almost surely, 211064096 is an apocalyptic number.

11064096 is a gapful number since it is divisible by the number (16) 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 11064096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16132662).

11064096 is an abundant number, since it is smaller than the sum of its proper divisors (21201228).

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

11064096 is a wasteful number, since it uses less digits than its factorization.

11064096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 11064096 is about 3326.2735906717. The cubic root of 11064096 is about 222.8291370837.

The spelling of 11064096 in words is "eleven million, sixty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 937 984 1312 1476 1874 1968 2811 2952 3748 3936 5622 5904 7496 8433 11244 11808 14992 16866 22488 29984 33732 38417 44976 67464 76834 89952 115251 134928 153668 230502 269856 307336 345753 461004 614672 691506 922008 1229344 1383012 1844016 2766024 3688032 5532048 11064096