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11144728 = 237712803
BaseRepresentation
bin101010100000…
…111000011000
3202222012200201
4222200320120
510323112403
61034511544
7163504630
oct52407030
922865621
1011144728
116322221
1238955b4
13240291a
1416a16c0
15ea221d
hexaa0e18

11144728 has 32 divisors (see below), whose sum is σ = 24226560. Its totient is φ = 4707360.

The previous prime is 11144723. The next prime is 11144737. The reversal of 11144728 is 82744111.

It is a Harshad number since it is a multiple of its sum of digits (28).

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

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 11144696 and 11144705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144723) 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, 2575 + ... + 5377.

It is an arithmetic number, because the mean of its divisors is an integer number (757080).

Almost surely, 211144728 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 11144728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12113280).

11144728 is an abundant number, since it is smaller than the sum of its proper divisors (13081832).

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

11144728 is a wasteful number, since it uses less digits than its factorization.

11144728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2883 counting only the distinct ones).

The product of its digits is 1792, while the sum is 28.

The square root of 11144728 is about 3338.3720583542. The cubic root of 11144728 is about 223.3691326489.

Adding to 11144728 its reverse (82744111), we get a palindrome (93888839).

The spelling of 11144728 in words is "eleven million, one hundred forty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 71 142 284 497 568 994 1988 2803 3976 5606 11212 19621 22424 39242 78484 156968 199013 398026 796052 1393091 1592104 2786182 5572364 11144728