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11530134 = 2337114759
BaseRepresentation
bin101011111110…
…111110010110
3210200210101000
4223332332112
510422431014
61051044130
7200001360
oct53767626
923623330
1011530134
116565840
123a40646
132509185
141761d30
15102b509
hexafef96

11530134 has 128 divisors (see below), whose sum is σ = 33177600. Its totient is φ = 2881440.

The previous prime is 11530133. The next prime is 11530157. The reversal of 11530134 is 43103511.

11530134 = T252 + T253 + ... + T439.

11530134 is a `hidden beast` number, since 1 + 1 + 530 + 134 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11530133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195397 + ... + 195455.

It is an arithmetic number, because the mean of its divisors is an integer number (259200).

Almost surely, 211530134 is an apocalyptic number.

11530134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11530134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16588800).

11530134 is an abundant number, since it is smaller than the sum of its proper divisors (21647466).

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

11530134 is a wasteful number, since it uses less digits than its factorization.

11530134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

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

The square root of 11530134 is about 3395.6051007147. The cubic root of 11530134 is about 225.9148529322.

Adding to 11530134 its reverse (43103511), we get a palindrome (54633645).

It can be divided in two parts, 11530 and 134, that added together give a square (11664 = 1082).

The spelling of 11530134 in words is "eleven million, five hundred thirty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 47 54 59 63 66 77 94 99 118 126 141 154 177 189 198 231 282 297 329 354 378 413 423 462 517 531 594 649 658 693 826 846 987 1034 1062 1239 1269 1298 1386 1551 1593 1947 1974 2079 2478 2538 2773 2961 3102 3186 3619 3717 3894 4158 4543 4653 5546 5841 5922 7238 7434 8319 8883 9086 9306 10857 11151 11682 13629 13959 16638 17523 17766 19411 21714 22302 24957 27258 27918 30503 32571 35046 38822 40887 49914 58233 61006 65142 74871 81774 91509 97713 116466 122661 149742 174699 183018 195426 213521 245322 274527 349398 427042 524097 549054 640563 823581 1048194 1281126 1647162 1921689 3843378 5765067 11530134