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11531072 = 26723677
BaseRepresentation
bin101011111111…
…001101000000
3210200211122202
4223333031000
510422443242
61051052332
7200004200
oct53771500
923624582
1011531072
116566513
123a410a8
132509727
141762400
15102b932
hexaff340

11531072 has 42 divisors (see below), whose sum is σ = 26625042. Its totient is φ = 4940544.

The previous prime is 11531059. The next prime is 11531099. The reversal of 11531072 is 27013511.

It can be written as a sum of positive squares in only one way, i.e., 10916416 + 614656 = 3304^2 + 784^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1298 + ... + 4974.

Almost surely, 211531072 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 11531072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13312521).

11531072 is an abundant number, since it is smaller than the sum of its proper divisors (15093970).

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

11531072 is an equidigital number, since it uses as much as digits as its factorization.

11531072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3686 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 11531072 is about 3395.7432176182. The cubic root of 11531072 is about 225.9209789780.

Adding to 11531072 its reverse (27013511), we get a palindrome (38544583).

The spelling of 11531072 in words is "eleven million, five hundred thirty-one thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 3677 7354 14708 25739 29416 51478 58832 102956 117664 180173 205912 235328 360346 411824 720692 823648 1441384 1647296 2882768 5765536 11531072