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111093248 = 297139223
BaseRepresentation
bin1101001111100…
…10011000000000
321202001010021202
412213302120000
5211414440443
615005040332
72516164010
oct647623000
9252033252
10111093248
1157789002
12312560a8
131a028b66
1410a7bc40
159b467b8
hex69f2600

111093248 has 80 divisors (see below), whose sum is σ = 256650240. Its totient is φ = 47056896.

The previous prime is 111093239. The next prime is 111093251. The reversal of 111093248 is 842390111.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 111093248.

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, 498065 + ... + 498287.

It is an arithmetic number, because the mean of its divisors is an integer number (3208128).

Almost surely, 2111093248 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 111093248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128325120).

111093248 is an abundant number, since it is smaller than the sum of its proper divisors (145556992).

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

111093248 is an equidigital number, since it uses as much as digits as its factorization.

111093248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 111093248 is about 10540.0781780782. The cubic root of 111093248 is about 480.7240923241.

The spelling of 111093248 in words is "one hundred eleven million, ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 139 223 224 256 278 446 448 512 556 892 896 973 1112 1561 1784 1792 1946 2224 3122 3568 3584 3892 4448 6244 7136 7784 8896 12488 14272 15568 17792 24976 28544 30997 31136 35584 49952 57088 61994 62272 71168 99904 114176 123988 124544 199808 216979 247976 249088 399616 433958 495952 498176 799232 867916 991904 1735832 1983808 3471664 3967616 6943328 7935232 13886656 15870464 27773312 55546624 111093248