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10232728 = 23113312
BaseRepresentation
bin100111000010…
…001110011000
3201020212122221
4213002032120
510104421403
61003153424
7152656012
oct47021630
921225587
1010232728
11585a000
123515874
13217378c
1415051b2
15d71dbd
hex9c2398

10232728 has 48 divisors (see below), whose sum is σ = 21806280. Its totient is φ = 4501200.

The previous prime is 10232711. The next prime is 10232749. The reversal of 10232728 is 82723201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330073 + ... + 330103.

Almost surely, 210232728 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 10232728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10903140).

10232728 is an abundant number, since it is smaller than the sum of its proper divisors (11573552).

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

10232728 is an equidigital number, since it uses as much as digits as its factorization.

10232728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 10232728 is about 3198.8635481996. The cubic root of 10232728 is about 217.1019928708.

Adding to 10232728 its reverse (82723201), we get a palindrome (92955929).

The spelling of 10232728 in words is "ten million, two hundred thirty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 484 682 961 968 1331 1364 1922 2662 2728 3751 3844 5324 7502 7688 10571 10648 15004 21142 30008 41261 42284 82522 84568 116281 165044 232562 330088 465124 930248 1279091 2558182 5116364 10232728