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11319168 = 27374211
BaseRepresentation
bin101011001011…
…011110000000
3210022001222110
4223023132000
510344203133
61042335320
7165132330
oct53133600
923261873
1011319168
116431293
12395a540
132464143
1417090c0
15ed8c63
hexacb780

11319168 has 64 divisors (see below), whose sum is σ = 34369920. Its totient is φ = 3233280.

The previous prime is 11319167. The next prime is 11319169. The reversal of 11319168 is 86191311.

It is an interprime number because it is at equal distance from previous prime (11319167) and next prime (11319169).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11319163) 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 7 ways as a sum of consecutive naturals, for example, 583 + ... + 4793.

It is an arithmetic number, because the mean of its divisors is an integer number (537030).

Almost surely, 211319168 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 11319168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184960).

11319168 is an abundant number, since it is smaller than the sum of its proper divisors (23050752).

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

11319168 is an equidigital number, since it uses as much as digits as its factorization.

11319168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235 (or 4223 counting only the distinct ones).

The product of its digits is 1296, while the sum is 30.

The square root of 11319168 is about 3364.3971228141. The cubic root of 11319168 is about 224.5285139286.

The spelling of 11319168 in words is "eleven million, three hundred nineteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 4211 8422 12633 16844 25266 29477 33688 50532 58954 67376 88431 101064 117908 134752 176862 202128 235816 269504 353724 404256 471632 539008 707448 808512 943264 1414896 1617024 1886528 2829792 3773056 5659584 11319168