Search a number
-
+
11043072 = 28324793
BaseRepresentation
bin101010001000…
…000100000000
3202210001020200
4222020010000
510311334242
61032405200
7162602355
oct52100400
922701220
1011043072
116262907
123846800
132398581
14167662c
15e8204c
hexa88100

11043072 has 54 divisors (see below), whose sum is σ = 31846542. Its totient is φ = 3680256.

The previous prime is 11043061. The next prime is 11043077. The reversal of 11043072 is 27034011.

It can be written as a sum of positive squares in only one way, i.e., 10653696 + 389376 = 3264^2 + 624^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11043077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 93 + ... + 4700.

Almost surely, 211043072 is an apocalyptic number.

11043072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11043072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15923271).

11043072 is an abundant number, since it is smaller than the sum of its proper divisors (20803470).

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

11043072 is an equidigital number, since it uses as much as digits as its factorization.

11043072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 11043072 is about 3323.1117946888. Note that the first 3 decimals coincide. The cubic root of 11043072 is about 222.6879075836.

Adding to 11043072 its reverse (27034011), we get a palindrome (38077083).

The spelling of 11043072 in words is "eleven million, forty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 4793 9586 14379 19172 28758 38344 43137 57516 76688 86274 115032 153376 172548 230064 306752 345096 460128 613504 690192 920256 1227008 1380384 1840512 2760768 3681024 5521536 11043072