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11161248 = 253717977
BaseRepresentation
bin101010100100…
…111010100000
3210000001100120
4222210322200
510324124443
61035120240
7163604040
oct52447240
923001316
1011161248
11633367a
1238a3080
13240a2b7
1416a7720
15ea7083
hexaa4ea0

11161248 has 96 divisors (see below), whose sum is σ = 35489664. Its totient is φ = 2998272.

The previous prime is 11161229. The next prime is 11161289. The reversal of 11161248 is 84216111.

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 (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10936 + ... + 11912.

It is an arithmetic number, because the mean of its divisors is an integer number (369684).

Almost surely, 211161248 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 11161248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17744832).

11161248 is an abundant number, since it is smaller than the sum of its proper divisors (24328416).

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

11161248 is a wasteful number, since it uses less digits than its factorization.

11161248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1006 counting only the distinct ones).

The product of its digits is 384, while the sum is 24.

The square root of 11161248 is about 3340.8454019903. The cubic root of 11161248 is about 223.4794459825.

Adding to 11161248 its reverse (84216111), we get a palindrome (95377359).

The spelling of 11161248 in words is "eleven million, one hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 977 1428 1632 1904 1954 2856 2931 3808 3908 5712 5862 6839 7816 11424 11724 13678 15632 16609 20517 23448 27356 31264 33218 41034 46896 49827 54712 66436 82068 93792 99654 109424 116263 132872 164136 199308 218848 232526 265744 328272 348789 398616 465052 531488 656544 697578 797232 930104 1395156 1594464 1860208 2790312 3720416 5580624 11161248