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11305136 = 241789467
BaseRepresentation
bin101011001000…
…000010110000
3210021100201202
4223020002300
510343231021
61042150332
7165043403
oct53100260
923240652
1011305136
116421797
1239523a8
13245a93b
141703d3a
15ed4a0b
hexac80b0

11305136 has 40 divisors (see below), whose sum is σ = 23502960. Its totient is φ = 5249024.

The previous prime is 11305127. The next prime is 11305139. The reversal of 11305136 is 63150311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11305139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23975 + ... + 24441.

It is an arithmetic number, because the mean of its divisors is an integer number (587574).

Almost surely, 211305136 is an apocalyptic number.

11305136 is a gapful number since it is divisible by the number (16) 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 11305136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11751480).

11305136 is an abundant number, since it is smaller than the sum of its proper divisors (12197824).

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

11305136 is a wasteful number, since it uses less digits than its factorization.

11305136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 11305136 is about 3362.3111099361. The cubic root of 11305136 is about 224.4356953605.

Adding to 11305136 its reverse (63150311), we get a palindrome (74455447).

The spelling of 11305136 in words is "eleven million, three hundred five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 68 89 136 178 272 356 467 712 934 1424 1513 1868 3026 3736 6052 7472 7939 12104 15878 24208 31756 41563 63512 83126 127024 166252 332504 665008 706571 1413142 2826284 5652568 11305136