Search a number
-
+
10381248 = 263267269
BaseRepresentation
bin100111100110…
…011111000000
3201112102101200
4213212133000
510124144443
61010301200
7154145013
oct47463700
921472350
1010381248
115950649
123587800
1321c6267
14154337a
15da0dd3
hex9e67c0

10381248 has 84 divisors (see below), whose sum is σ = 30312360. Its totient is φ = 3396096.

The previous prime is 10381229. The next prime is 10381279. The reversal of 10381248 is 84218301.

10381248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 38458 + ... + 38726.

Almost surely, 210381248 is an apocalyptic number.

10381248 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 10381248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15156180).

10381248 is an abundant number, since it is smaller than the sum of its proper divisors (19931112).

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

10381248 is a wasteful number, since it uses less digits than its factorization.

10381248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10381248 is about 3221.9944134030. The cubic root of 10381248 is about 218.1473066625.

Adding to 10381248 its reverse (84218301), we get a palindrome (94599549).

The spelling of 10381248 in words is "ten million, three hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 134 144 192 201 268 269 288 402 536 538 576 603 804 807 1072 1076 1206 1608 1614 2144 2152 2412 2421 3216 3228 4288 4304 4824 4842 6432 6456 8608 9648 9684 12864 12912 17216 18023 19296 19368 25824 36046 38592 38736 51648 54069 72092 77472 108138 144184 154944 162207 216276 288368 324414 432552 576736 648828 865104 1153472 1297656 1730208 2595312 3460416 5190624 10381248