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11159968 = 252359257
BaseRepresentation
bin101010100100…
…100110100000
3202222222121011
4222210212200
510324104333
61035110304
7163600231
oct52444640
922888534
1011159968
116332716
1238a2394
132409841
1416a7088
15ea69cd
hexaa49a0

11159968 has 48 divisors (see below), whose sum is σ = 23405760. Its totient is φ = 5226496.

The previous prime is 11159963. The next prime is 11159971. The reversal of 11159968 is 86995111.

It is a super-2 number, since 2×111599682 = 249089771522048, 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 11159968.

It is not an unprimeable number, because it can be changed into a prime (11159963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43296 + ... + 43552.

It is an arithmetic number, because the mean of its divisors is an integer number (487620).

Almost surely, 211159968 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 11159968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11702880).

11159968 is an abundant number, since it is smaller than the sum of its proper divisors (12245792).

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

11159968 is a wasteful number, since it uses less digits than its factorization.

11159968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its digits is 19440, while the sum is 40.

The square root of 11159968 is about 3340.6538282199. The cubic root of 11159968 is about 223.4709025942.

The spelling of 11159968 in words is "eleven million, one hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 59 92 118 184 236 257 368 472 514 736 944 1028 1357 1888 2056 2714 4112 5428 5911 8224 10856 11822 15163 21712 23644 30326 43424 47288 60652 94576 121304 189152 242608 348749 485216 697498 1394996 2789992 5579984 11159968