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11209428 = 2234291193
BaseRepresentation
bin101010110000…
…101011010100
3210002111110000
4222300223110
510332200203
61040131300
7164164356
oct52605324
923074400
1011209428
11636689a
123906b30
1324261c9
1416bb0d6
15eb64a3
hexab0ad4

11209428 has 60 divisors (see below), whose sum is σ = 30339540. Its totient is φ = 3604608.

The previous prime is 11209423. The next prime is 11209433. The reversal of 11209428 is 82490211.

It is an interprime number because it is at equal distance from previous prime (11209423) and next prime (11209433).

It can be written as a sum of positive squares in 2 ways, for example, as 5817744 + 5391684 = 2412^2 + 2322^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11209423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8800 + ... + 9992.

It is an arithmetic number, because the mean of its divisors is an integer number (505659).

Almost surely, 211209428 is an apocalyptic number.

11209428 is a gapful number since it is divisible by the number (18) 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 11209428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15169770).

11209428 is an abundant number, since it is smaller than the sum of its proper divisors (19130112).

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

11209428 is a wasteful number, since it uses less digits than its factorization.

11209428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11209428 is about 3348.0483867471. The cubic root of 11209428 is about 223.8005505668.

Adding to 11209428 its reverse (82490211), we get a palindrome (93699639).

The spelling of 11209428 in words is "eleven million, two hundred nine thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1193 1566 2349 2386 3132 3579 4698 4772 7158 9396 10737 14316 21474 32211 34597 42948 64422 69194 96633 103791 128844 138388 193266 207582 311373 386532 415164 622746 934119 1245492 1868238 2802357 3736476 5604714 11209428