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10390248 = 2333114373
BaseRepresentation
bin100111101000…
…101011101000
3201112212202000
4213220223220
510124441443
61010411000
7154213161
oct47505350
921485660
1010390248
115957390
123590a60
1321ca39b
141546768
15da38d3
hex9e8ae8

10390248 has 64 divisors (see below), whose sum is σ = 31492800. Its totient is φ = 3147840.

The previous prime is 10390241. The next prime is 10390249. The reversal of 10390248 is 84209301.

10390248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10390241) 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, 190 + ... + 4562.

It is an arithmetic number, because the mean of its divisors is an integer number (492075).

Almost surely, 210390248 is an apocalyptic number.

10390248 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 10390248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15746400).

10390248 is an abundant number, since it is smaller than the sum of its proper divisors (21102552).

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

10390248 is a wasteful number, since it uses less digits than its factorization.

10390248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4399 (or 4389 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10390248 is about 3223.3907612947. The cubic root of 10390248 is about 218.2103292287.

Adding to 10390248 its reverse (84209301), we get a palindrome (94599549).

The spelling of 10390248 in words is "ten million, three hundred ninety thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 4373 8746 13119 17492 26238 34984 39357 48103 52476 78714 96206 104952 118071 144309 157428 192412 236142 288618 314856 384824 432927 472284 577236 865854 944568 1154472 1298781 1731708 2597562 3463416 5195124 10390248