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11730816 = 273217599
BaseRepresentation
bin101100101111…
…111110000000
3211001222122200
4230233332000
511000341231
61055233200
7201465426
oct54577600
924058580
1011730816
116692599
123b18800
132579616
1417b5116
15106abe6
hexb2ff80

11730816 has 96 divisors (see below), whose sum is σ = 35802000. Its totient is φ = 3674112.

The previous prime is 11730811. The next prime is 11730853. The reversal of 11730816 is 61803711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×117308162 = 275224088051712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11730816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11730811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19285 + ... + 19883.

Almost surely, 211730816 is an apocalyptic number.

11730816 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 11730816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17901000).

11730816 is an abundant number, since it is smaller than the sum of its proper divisors (24071184).

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

11730816 is a wasteful number, since it uses less digits than its factorization.

11730816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 11730816 is about 3425.0278830982. The cubic root of 11730816 is about 227.2180042599.

The spelling of 11730816 in words is "eleven million, seven hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 599 612 816 1088 1152 1198 1224 1632 1797 2176 2396 2448 3264 3594 4792 4896 5391 6528 7188 9584 9792 10183 10782 14376 19168 19584 20366 21564 28752 30549 38336 40732 43128 57504 61098 76672 81464 86256 91647 115008 122196 162928 172512 183294 230016 244392 325856 345024 366588 488784 651712 690048 733176 977568 1303424 1466352 1955136 2932704 3910272 5865408 11730816