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424000530 = 232553103863
BaseRepresentation
bin11001010001011…
…011110000010010
31002112211110101100
4121101123300102
51332021004110
6110023445230
713335642102
oct3121336022
91075743340
10424000530
111a8378968
12b9bb6816
1369ac58b5
1440451202
1527354bc0
hex1945bc12

424000530 has 96 divisors (see below), whose sum is σ = 1135420416. Its totient is φ = 109729152.

The previous prime is 424000513. The next prime is 424000531. The reversal of 424000530 is 35000424.

It is a happy number.

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 (424000531) 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 47 ways as a sum of consecutive naturals, for example, 490879 + ... + 491741.

It is an arithmetic number, because the mean of its divisors is an integer number (11827296).

Almost surely, 2424000530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424000530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567710208).

424000530 is an abundant number, since it is smaller than the sum of its proper divisors (711419886).

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

424000530 is a wasteful number, since it uses less digits than its factorization.

424000530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 424000530 is about 20591.2731515077. The cubic root of 424000530 is about 751.2574638679.

Adding to 424000530 its reverse (35000424), we get a palindrome (459000954).

The spelling of 424000530 in words is "four hundred twenty-four million, five hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 103 106 159 206 265 309 318 477 515 530 618 795 863 927 954 1030 1545 1590 1726 1854 2385 2589 3090 4315 4635 4770 5178 5459 7767 8630 9270 10918 12945 15534 16377 25890 27295 32754 38835 45739 49131 54590 77670 81885 88889 91478 98262 137217 163770 177778 228695 245655 266667 274434 411651 444445 457390 491310 533334 686085 800001 823302 888890 1333335 1372170 1600002 2058255 2666670 4000005 4116510 4711117 8000010 9422234 14133351 23555585 28266702 42400053 47111170 70666755 84800106 141333510 212000265 424000530