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10300248 = 23327107191
BaseRepresentation
bin100111010010…
…101101011000
3201101022021200
4213102231120
510114101443
61004434200
7153356610
oct47225530
921338250
1010300248
1158a5802
123548960
13219842a
141521a40
15d86dd3
hex9d2b58

10300248 has 96 divisors (see below), whose sum is σ = 32348160. Its totient is φ = 2900160.

The previous prime is 10300243. The next prime is 10300253. The reversal of 10300248 is 84200301.

It is a happy number.

10300248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10300243) and next prime (10300253).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10300248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53833 + ... + 54023.

It is an arithmetic number, because the mean of its divisors is an integer number (336960).

Almost surely, 210300248 is an apocalyptic number.

10300248 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 10300248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174080).

10300248 is an abundant number, since it is smaller than the sum of its proper divisors (22047912).

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

10300248 is a wasteful number, since it uses less digits than its factorization.

10300248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10300248 is about 3209.3999439147. The cubic root of 10300248 is about 217.5784576244.

Adding to 10300248 its reverse (84200301), we get a palindrome (94500549).

The spelling of 10300248 in words is "ten million, three hundred thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 107 126 168 191 214 252 321 382 428 504 573 642 749 764 856 963 1146 1284 1337 1498 1528 1719 1926 2247 2292 2568 2674 2996 3438 3852 4011 4494 4584 5348 5992 6741 6876 7704 8022 8988 10696 12033 13482 13752 16044 17976 20437 24066 26964 32088 40874 48132 53928 61311 81748 96264 122622 143059 163496 183933 245244 286118 367866 429177 490488 572236 735732 858354 1144472 1287531 1471464 1716708 2575062 3433416 5150124 10300248