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11134530 = 23351123163
BaseRepresentation
bin101010011110…
…011001000010
3202221200201000
4222132121002
510322301110
61034352430
7163433121
oct52363102
922850630
1011134530
1163155a0
12388b716
1323cb0a4
14169bab8
15e9e1c0
hexa9e642

11134530 has 128 divisors (see below), whose sum is σ = 34007040. Its totient is φ = 2566080.

The previous prime is 11134517. The next prime is 11134531. The reversal of 11134530 is 3543111.

11134530 is a `hidden beast` number, since 1 + 1 + 134 + 530 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11134531) 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 63 ways as a sum of consecutive naturals, for example, 68229 + ... + 68391.

It is an arithmetic number, because the mean of its divisors is an integer number (265680).

Almost surely, 211134530 is an apocalyptic number.

11134530 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 11134530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17003520).

11134530 is an abundant number, since it is smaller than the sum of its proper divisors (22872510).

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

11134530 is a wasteful number, since it uses less digits than its factorization.

11134530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 11134530 is about 3336.8443176151. The cubic root of 11134530 is about 223.3009804376.

Adding to 11134530 its reverse (3543111), we get a palindrome (14677641).

It can be divided in two parts, 11134 and 530, that added together give a square (11664 = 1082).

The spelling of 11134530 in words is "eleven million, one hundred thirty-four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 27 30 33 45 46 54 55 66 69 90 99 110 115 135 138 163 165 198 207 230 253 270 297 326 330 345 414 489 495 506 594 621 690 759 815 978 990 1035 1242 1265 1467 1485 1518 1630 1793 2070 2277 2445 2530 2934 2970 3105 3586 3749 3795 4401 4554 4890 5379 6210 6831 7335 7498 7590 8802 8965 10758 11247 11385 13662 14670 16137 17930 18745 22005 22494 22770 26895 32274 33741 34155 37490 41239 44010 48411 53790 56235 67482 68310 80685 82478 96822 101223 112470 123717 161370 168705 202446 206195 242055 247434 337410 371151 412390 484110 506115 618585 742302 1012230 1113453 1237170 1855755 2226906 3711510 5567265 11134530