Search a number
-
+
10381568 = 28107379
BaseRepresentation
bin100111100110…
…100100000000
3201112102211112
4213212210000
510124202233
61010302452
7154145651
oct47464400
921472745
1010381568
11595090a
123587a28
1321c6452
141543528
15da1048
hex9e6900

10381568 has 36 divisors (see below), whose sum is σ = 20971440. Its totient is φ = 5128704.

The previous prime is 10381561. The next prime is 10381589. The reversal of 10381568 is 86518301.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (10381561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27203 + ... + 27581.

It is an arithmetic number, because the mean of its divisors is an integer number (582540).

Almost surely, 210381568 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 10381568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10485720).

10381568 is an abundant number, since it is smaller than the sum of its proper divisors (10589872).

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

10381568 is an equidigital number, since it uses as much as digits as its factorization.

10381568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 10381568 is about 3222.0440717036. The cubic root of 10381568 is about 218.1495480893.

Adding to 10381568 its reverse (86518301), we get a palindrome (96899869).

The spelling of 10381568 in words is "ten million, three hundred eighty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 379 428 758 856 1516 1712 3032 3424 6064 6848 12128 13696 24256 27392 40553 48512 81106 97024 162212 324424 648848 1297696 2595392 5190784 10381568