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11095968 = 2531317523
BaseRepresentation
bin101010010100…
…111110100000
3202212201210210
4222110332200
510320032333
61033454120
7163212522
oct52247640
922781723
1011095968
116299624
123871340
1323b6680
14168ba12
15e92a63
hexa94fa0

11095968 has 96 divisors (see below), whose sum is σ = 33276096. Its totient is φ = 3207168.

The previous prime is 11095963. The next prime is 11095969. The reversal of 11095968 is 86959011.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (11095963) 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 15 ways as a sum of consecutive naturals, for example, 20955 + ... + 21477.

It is an arithmetic number, because the mean of its divisors is an integer number (346626).

Almost surely, 211095968 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 11095968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16638048).

11095968 is an abundant number, since it is smaller than the sum of its proper divisors (22180128).

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

11095968 is a wasteful number, since it uses less digits than its factorization.

11095968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 11095968 is about 3331.0610922047. The cubic root of 11095968 is about 223.0428976306.

The spelling of 11095968 in words is "eleven million, ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 312 408 416 442 523 544 624 663 816 884 1046 1248 1326 1569 1632 1768 2092 2652 3138 3536 4184 5304 6276 6799 7072 8368 8891 10608 12552 13598 16736 17782 20397 21216 25104 26673 27196 35564 40794 50208 53346 54392 71128 81588 106692 108784 115583 142256 163176 213384 217568 231166 284512 326352 346749 426768 462332 652704 693498 853536 924664 1386996 1849328 2773992 3698656 5547984 11095968