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11206428 = 22319232137
BaseRepresentation
bin101010101111…
…111100011100
3210002100022220
4222233330130
510332101203
61040105340
7164152542
oct52577434
923070286
1011206428
116364612
123905250
132424a2c
1416b9d92
15eb5653
hexaaff1c

11206428 has 48 divisors (see below), whose sum is σ = 28734720. Its totient is φ = 3383424.

The previous prime is 11206423. The next prime is 11206453. The reversal of 11206428 is 82460211.

It is a junction number, because it is equal to n+sod(n) for n = 11206398 and 11206407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11206423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4176 + ... + 6312.

It is an arithmetic number, because the mean of its divisors is an integer number (598640).

Almost surely, 211206428 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 11206428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14367360).

11206428 is an abundant number, since it is smaller than the sum of its proper divisors (17528292).

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

11206428 is a wasteful number, since it uses less digits than its factorization.

11206428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 11206428 is about 3347.6003345680. The cubic root of 11206428 is about 223.7805834000.

Adding to 11206428 its reverse (82460211), we get a palindrome (93666639).

The spelling of 11206428 in words is "eleven million, two hundred six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 874 1311 1748 2137 2622 4274 5244 6411 8548 12822 25644 40603 49151 81206 98302 121809 147453 162412 196604 243618 294906 487236 589812 933869 1867738 2801607 3735476 5603214 11206428