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11324768 = 257133889
BaseRepresentation
bin101011001100…
…110101100000
3210022100122212
4223030311200
510344343033
61042421252
7165154550
oct53146540
923270585
1011324768
116435514
123961828
132466860
14170b160
15eda748
hexaccd60

11324768 has 48 divisors (see below), whose sum is σ = 27447840. Its totient is φ = 4478976.

The previous prime is 11324759. The next prime is 11324777. The reversal of 11324768 is 86742311.

It is an interprime number because it is at equal distance from previous prime (11324759) and next prime (11324777).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 968 + ... + 4856.

It is an arithmetic number, because the mean of its divisors is an integer number (571830).

Almost surely, 211324768 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 11324768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13723920).

11324768 is an abundant number, since it is smaller than the sum of its proper divisors (16123072).

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

11324768 is a wasteful number, since it uses less digits than its factorization.

11324768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3911 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 11324768 is about 3365.2292641067. The cubic root of 11324768 is about 224.5655352710.

The spelling of 11324768 in words is "eleven million, three hundred twenty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 3889 7778 15556 27223 31112 50557 54446 62224 101114 108892 124448 202228 217784 353899 404456 435568 707798 808912 871136 1415596 1617824 2831192 5662384 11324768