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11793664 = 28232003
BaseRepresentation
bin101100111111…
…010100000000
3211012011212101
4230333110000
511004344124
61100440144
7202146601
oct54772400
924164771
1011793664
116725833
123b49054
13259c0cc
1417cdda8
15107e644
hexb3f500

11793664 has 36 divisors (see below), whose sum is σ = 24577056. Its totient is φ = 5637632.

The previous prime is 11793643. The next prime is 11793667. The reversal of 11793664 is 46639711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11793667) 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 3 ways as a sum of consecutive naturals, for example, 4887 + ... + 6889.

It is an arithmetic number, because the mean of its divisors is an integer number (682696).

Almost surely, 211793664 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 11793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12288528).

11793664 is an abundant number, since it is smaller than the sum of its proper divisors (12783392).

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

11793664 is an equidigital number, since it uses as much as digits as its factorization.

11793664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2028 counting only the distinct ones).

The product of its digits is 27216, while the sum is 37.

The square root of 11793664 is about 3434.1904431758. The cubic root of 11793664 is about 227.6230562373.

The spelling of 11793664 in words is "eleven million, seven hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 1472 2003 2944 4006 5888 8012 16024 32048 46069 64096 92138 128192 184276 256384 368552 512768 737104 1474208 2948416 5896832 11793664