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506043420 = 2235171812741
BaseRepresentation
bin11110001010011…
…001110000011100
31022021012200001220
4132022121300130
52014021342140
6122114133340
715353204151
oct3612316034
91267180056
10506043420
1123a714a03
12121581250
1380abca9c
144b2ca228
152e65dbd0
hex1e299c1c

506043420 has 96 divisors (see below), whose sum is σ = 1509109056. Its totient is φ = 126259200.

The previous prime is 506043383. The next prime is 506043451. The reversal of 506043420 is 24340605.

It is a super-3 number, since 3×5060434203 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183250 + ... + 185990.

It is an arithmetic number, because the mean of its divisors is an integer number (15719886).

Almost surely, 2506043420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506043420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754554528).

506043420 is an abundant number, since it is smaller than the sum of its proper divisors (1003065636).

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

506043420 is a wasteful number, since it uses less digits than its factorization.

506043420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 506043420 is about 22495.4088649217. The cubic root of 506043420 is about 796.8855052210.

The spelling of 506043420 in words is "five hundred six million, forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 181 204 255 340 362 510 543 724 905 1020 1086 1810 2172 2715 2741 3077 3620 5430 5482 6154 8223 9231 10860 10964 12308 13705 15385 16446 18462 27410 30770 32892 36924 41115 46155 46597 54820 61540 82230 92310 93194 139791 164460 184620 186388 232985 279582 465970 496121 559164 698955 931940 992242 1397910 1488363 1984484 2480605 2795820 2976726 4961210 5953452 7441815 8434057 9922420 14883630 16868114 25302171 29767260 33736228 42170285 50604342 84340570 101208684 126510855 168681140 253021710 506043420