Search a number
-
+
11256414 = 2313217653
BaseRepresentation
bin101010111100…
…001001011110
3210011212220020
4222330021132
510340201124
61041133010
7164451351
oct52741136
923155806
1011256414
116399124
12392a166
132441700
1416d0298
15ec5379
hexabc25e

11256414 has 48 divisors (see below), whose sum is σ = 25851312. Its totient is φ = 3254784.

The previous prime is 11256403. The next prime is 11256439. The reversal of 11256414 is 41465211.

It is a happy number.

It is a super-2 number, since 2×112564142 = 253413712278792, which contains 22 as substring.

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 16912 + ... + 17564.

It is an arithmetic number, because the mean of its divisors is an integer number (538569).

Almost surely, 211256414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11256414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12925656).

11256414 is an abundant number, since it is smaller than the sum of its proper divisors (14594898).

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

11256414 is a wasteful number, since it uses less digits than its factorization.

11256414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 688 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 11256414 is about 3355.0579726735. The cubic root of 11256414 is about 224.1128125415.

The spelling of 11256414 in words is "eleven million, two hundred fifty-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 169 221 338 442 507 653 663 1014 1306 1326 1959 2873 3918 5746 8489 8619 11101 16978 17238 22202 25467 33303 50934 66606 110357 144313 220714 288626 331071 432939 662142 865878 1876069 3752138 5628207 11256414