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12042030 = 23571113401
BaseRepresentation
bin101101111011…
…111100101110
3211122210120010
4231323330232
511040321110
61110034050
7204232650
oct55737456
924583503
1012042030
1168853a0
124048926
132658180
1418566d0
1510cd020
hexb7bf2e

12042030 has 128 divisors (see below), whose sum is σ = 38900736. Its totient is φ = 2304000.

The previous prime is 12041999. The next prime is 12042053. The reversal of 12042030 is 3024021.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12041997 and 12042015.

It is a congruent number.

It is an unprimeable number.

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, 29830 + ... + 30230.

It is an arithmetic number, because the mean of its divisors is an integer number (303912).

Almost surely, 212042030 is an apocalyptic number.

12042030 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 12042030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19450368).

12042030 is an abundant number, since it is smaller than the sum of its proper divisors (26858706).

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

12042030 is a wasteful number, since it uses less digits than its factorization.

12042030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 12042030 is about 3470.1628203875. The cubic root of 12042030 is about 229.2098278301.

Adding to 12042030 its reverse (3024021), we get a palindrome (15066051).

Subtracting from 12042030 its reverse (3024021), we obtain a square (9018009 = 30032).

The spelling of 12042030 in words is "twelve million, forty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 401 429 455 462 546 715 770 802 858 910 1001 1155 1203 1365 1430 2002 2005 2145 2310 2406 2730 2807 3003 4010 4290 4411 5005 5213 5614 6006 6015 8421 8822 10010 10426 12030 13233 14035 15015 15639 16842 22055 26065 26466 28070 30030 30877 31278 36491 42105 44110 52130 57343 61754 66165 72982 78195 84210 92631 109473 114686 132330 154385 156390 172029 182455 185262 218946 286715 308770 344058 364910 401401 463155 547365 573430 802802 860145 926310 1094730 1204203 1720290 2007005 2408406 4014010 6021015 12042030