Search a number
-
+
10657248 = 253715859
BaseRepresentation
bin101000101001…
…110111100000
3202001102222220
4220221313200
510212012443
61020231040
7156404460
oct50516740
922042886
1010657248
116019a48
12369b480
132291a84
1415b5ba0
15e07a83
hexa29de0

10657248 has 48 divisors (see below), whose sum is σ = 31973760. Its totient is φ = 3044736.

The previous prime is 10657247. The next prime is 10657259. The reversal of 10657248 is 84275601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106572482 = 227153869867008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10657247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7258 + ... + 8601.

It is an arithmetic number, because the mean of its divisors is an integer number (666120).

Almost surely, 210657248 is an apocalyptic number.

It is an amenable number.

10657248 is an abundant number, since it is smaller than the sum of its proper divisors (21316512).

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

10657248 is a wasteful number, since it uses less digits than its factorization.

10657248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15879 (or 15871 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 10657248 is about 3264.5440723017. The cubic root of 10657248 is about 220.0636730298.

The spelling of 10657248 in words is "ten million, six hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 15859 31718 47577 63436 95154 111013 126872 190308 222026 253744 333039 380616 444052 507488 666078 761232 888104 1332156 1522464 1776208 2664312 3552416 5328624 10657248