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11580030 = 2335711557
BaseRepresentation
bin101100001011…
…001001111110
3210210022211000
4230023021332
510431030110
61052111130
7200300010
oct54131176
923708730
1011580030
11659a280
123a654a6
132525ab7
1417761b0
15103b1c0
hexb0b27e

11580030 has 128 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 2401920.

The previous prime is 11580013. The next prime is 11580031. The reversal of 11580030 is 3008511.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11579985 and 11580012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11580031) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 20512 + ... + 21068.

It is an arithmetic number, because the mean of its divisors is an integer number (301320).

Almost surely, 211580030 is an apocalyptic number.

11580030 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 11580030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).

11580030 is an abundant number, since it is smaller than the sum of its proper divisors (26988930).

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

11580030 is a wasteful number, since it uses less digits than its factorization.

11580030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11580030 is about 3402.9443133851. The cubic root of 11580030 is about 226.2402618846.

Adding to 11580030 its reverse (3008511), we get a palindrome (14588541).

The spelling of 11580030 in words is "eleven million, five hundred eighty thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 90 99 105 110 126 135 154 165 189 198 210 231 270 297 315 330 378 385 462 495 557 594 630 693 770 945 990 1114 1155 1386 1485 1671 1890 2079 2310 2785 2970 3342 3465 3899 4158 5013 5570 6127 6930 7798 8355 10026 10395 11697 12254 15039 16710 18381 19495 20790 23394 25065 30078 30635 35091 36762 38990 42889 50130 55143 58485 61270 70182 75195 85778 91905 105273 110286 116970 128667 150390 165429 175455 183810 210546 214445 257334 275715 330858 350910 386001 428890 526365 551430 643335 772002 827145 1052730 1158003 1286670 1654290 1930005 2316006 3860010 5790015 11580030