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8120673820 = 2257313794937
BaseRepresentation
bin1111001000000011…
…11010011000011100
3202221221110222021001
413210001322120130
5113112343030240
63421450120044
7405144405610
oct74401723034
922857428231
108120673820
1134979aa486
1216a7720024
139c554494c
1457071b340
15327dd589a
hex1e407a61c

8120673820 has 96 divisors (see below), whose sum is σ = 20175482880. Its totient is φ = 2686763520.

The previous prime is 8120673817. The next prime is 8120673859. The reversal of 8120673820 is 283760218.

It is a self number, because there is not a number n which added to its sum of digits gives 8120673820.

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, 1642392 + ... + 1647328.

It is an arithmetic number, because the mean of its divisors is an integer number (210161280).

Almost surely, 28120673820 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 8120673820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10087741440).

8120673820 is an abundant number, since it is smaller than the sum of its proper divisors (12054809060).

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

8120673820 is a wasteful number, since it uses less digits than its factorization.

8120673820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5363 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 8120673820 is about 90114.7813624380. The cubic root of 8120673820 is about 2010.0060080842.

The spelling of 8120673820 in words is "eight billion, one hundred twenty million, six hundred seventy-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 379 434 620 758 868 1085 1516 1895 2170 2653 3790 4340 4937 5306 7580 9874 10612 11749 13265 19748 23498 24685 26530 34559 46996 49370 53060 58745 69118 82243 98740 117490 138236 153047 164486 172795 234980 306094 328972 345590 411215 612188 691180 765235 822430 1071329 1530470 1644860 1871123 2142658 3060940 3742246 4285316 5356645 7484492 9355615 10713290 13097861 18711230 21426580 26195722 37422460 52391444 58004813 65489305 116009626 130978610 232019252 261957220 290024065 406033691 580048130 812067382 1160096260 1624134764 2030168455 4060336910 8120673820