Search a number
-
+
11256630 = 2357112443
BaseRepresentation
bin101010111100…
…001100110110
3210011220012020
4222330030312
510340203010
61041134010
7164452110
oct52741466
923156166
1011256630
116399300
12392a306
132441838
1416d03b0
15ec5470
hexabc336

11256630 has 96 divisors (see below), whose sum is σ = 34013952. Its totient is φ = 2333760.

The previous prime is 11256629. The next prime is 11256643. The reversal of 11256630 is 3665211.

It is a self number, because there is not a number n which added to its sum of digits gives 11256630.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25189 + ... + 25631.

It is an arithmetic number, because the mean of its divisors is an integer number (354312).

Almost surely, 211256630 is an apocalyptic number.

11256630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11256630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17006976).

11256630 is an abundant number, since it is smaller than the sum of its proper divisors (22757322).

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

11256630 is a wasteful number, since it uses less digits than its factorization.

11256630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 11256630 is about 3355.0901627229. The cubic root of 11256630 is about 224.1142460370.

The spelling of 11256630 in words is "eleven million, two hundred fifty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 121 154 165 210 231 242 330 363 385 443 462 605 726 770 847 886 1155 1210 1329 1694 1815 2215 2310 2541 2658 3101 3630 4235 4430 4873 5082 6202 6645 8470 9303 9746 12705 13290 14619 15505 18606 24365 25410 29238 31010 34111 46515 48730 53603 68222 73095 93030 102333 107206 146190 160809 170555 204666 268015 321618 341110 375221 511665 536030 750442 804045 1023330 1125663 1608090 1876105 2251326 3752210 5628315 11256630