Search a number
-
+
30063660 = 223511241101
BaseRepresentation
bin111001010101…
…1110000101100
32002120101120220
41302223300230
530144014120
62552211340
7513352104
oct162536054
962511526
1030063660
1115a74300
12a099b50
1362c7c63
143dc8204
15298cb40
hex1cabc2c

30063660 has 144 divisors (see below), whose sum is σ = 95721696. Its totient is φ = 7040000.

The previous prime is 30063659. The next prime is 30063673. The reversal of 30063660 is 6636003.

30063660 is nontrivially palindromic in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 30063660.

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 47 ways as a sum of consecutive naturals, for example, 297610 + ... + 297710.

It is an arithmetic number, because the mean of its divisors is an integer number (664734).

Almost surely, 230063660 is an apocalyptic number.

30063660 is a gapful number since it is divisible by the number (30) 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 30063660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47860848).

30063660 is an abundant number, since it is smaller than the sum of its proper divisors (65658036).

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

30063660 is a wasteful number, since it uses less digits than its factorization.

30063660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 30063660 is about 5483.0338317395. The cubic root of 30063660 is about 310.9428802298.

Adding to 30063660 its reverse (6636003), we get a palindrome (36699663).

It can be divided in two parts, 3006 and 3660, that added together give a palindrome (6666).

The spelling of 30063660 in words is "thirty million, sixty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 82 101 110 121 123 132 164 165 202 205 220 242 246 303 330 363 404 410 451 484 492 505 605 606 615 660 726 820 902 1010 1111 1210 1212 1230 1353 1452 1515 1804 1815 2020 2222 2255 2420 2460 2706 3030 3333 3630 4141 4444 4510 4961 5412 5555 6060 6666 6765 7260 8282 9020 9922 11110 12221 12423 13332 13530 14883 16564 16665 19844 20705 22220 24442 24805 24846 27060 29766 33330 36663 41410 45551 48884 49610 49692 59532 61105 62115 66660 73326 74415 82820 91102 99220 122210 124230 136653 146652 148830 182204 183315 227755 244420 248460 273306 297660 366630 455510 501061 546612 683265 733260 911020 1002122 1366530 1503183 2004244 2505305 2733060 3006366 5010610 6012732 7515915 10021220 15031830 30063660