Search a number
-
+
10262912 = 271137197
BaseRepresentation
bin100111001001…
…100110000000
3201022102001212
4213021212000
510111403122
61003545252
7153143012
oct47114600
921272055
1010262912
11587a750
12352b228
13218443a
1415121b2
15d7ace2
hex9c9980

10262912 has 64 divisors (see below), whose sum is σ = 23023440. Its totient is φ = 4515840.

The previous prime is 10262909. The next prime is 10262921. The reversal of 10262912 is 21926201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51998 + ... + 52194.

Almost surely, 210262912 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 10262912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11511720).

10262912 is an abundant number, since it is smaller than the sum of its proper divisors (12760528).

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

10262912 is a wasteful number, since it uses less digits than its factorization.

10262912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 10262912 is about 3203.5779996747. The cubic root of 10262912 is about 217.3152489333.

The spelling of 10262912 in words is "ten million, two hundred sixty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 197 296 352 394 407 592 704 788 814 1184 1408 1576 1628 2167 2368 3152 3256 4334 4736 6304 6512 7289 8668 12608 13024 14578 17336 25216 26048 29156 34672 52096 58312 69344 80179 116624 138688 160358 233248 277376 320716 466496 641432 932992 1282864 2565728 5131456 10262912