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8428420080 = 24325110310613
BaseRepresentation
bin1111101100101111…
…10111101111110000
3210202101120002202200
413312113313233300
5114230133420310
63512202143200
7415602250203
oct76627675760
923671502680
108428420080
113635694833
1217727b1b00
13a44225522
1459d54993a
15344e249c0
hex1f65f7bf0

8428420080 has 120 divisors (see below), whose sum is σ = 28333775808. Its totient is φ = 2245329408.

The previous prime is 8428420079. The next prime is 8428420087. The reversal of 8428420080 is 800248248.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8428420087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 788854 + ... + 799466.

Almost surely, 28428420080 is an apocalyptic number.

8428420080 is a gapful number since it is divisible by the number (80) 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 8428420080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14166887904).

8428420080 is an abundant number, since it is smaller than the sum of its proper divisors (19905355728).

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

8428420080 is a wasteful number, since it uses less digits than its factorization.

8428420080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11735 (or 11726 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 8428420080 is about 91806.4272259846. The cubic root of 8428420080 is about 2035.0826778926.

The spelling of 8428420080 in words is "eight billion, four hundred twenty-eight million, four hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1103 2206 3309 4412 5515 6618 8824 9927 10613 11030 13236 16545 17648 19854 21226 22060 26472 31839 33090 39708 42452 44120 49635 52944 53065 63678 66180 79416 84904 88240 95517 99270 106130 127356 132360 158832 159195 169808 191034 198540 212260 254712 264720 318390 382068 397080 424520 477585 509424 636780 764136 794160 849040 955170 1273560 1528272 1910340 2547120 3820680 7641360 11706139 23412278 35118417 46824556 58530695 70236834 93649112 105355251 117061390 140473668 175592085 187298224 210710502 234122780 280947336 351184170 421421004 468245560 526776255 561894672 702368340 842842008 936491120 1053552510 1404736680 1685684016 2107105020 2809473360 4214210040 8428420080