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320126820 = 2235131921601
BaseRepresentation
bin10011000101001…
…011111101100100
3211022101010102220
4103011023331210
51123423024240
651433232340
710635014226
oct2305137544
9738333386
10320126820
11154781022
128b2626b0
1351426b70
1430732416
151d1875d0
hex1314bf64

320126820 has 96 divisors (see below), whose sum is σ = 1016158080. Its totient is φ = 74649600.

The previous prime is 320126803. The next prime is 320126843. The reversal of 320126820 is 28621023.

320126820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 4020 + ... + 25620.

It is an arithmetic number, because the mean of its divisors is an integer number (10584980).

Almost surely, 2320126820 is an apocalyptic number.

320126820 is a gapful number since it is divisible by the number (30) 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 320126820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508079040).

320126820 is an abundant number, since it is smaller than the sum of its proper divisors (696031260).

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

320126820 is a wasteful number, since it uses less digits than its factorization.

320126820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21645 (or 21643 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 320126820 is about 17892.0881956243. The cubic root of 320126820 is about 684.0807247156.

Adding to 320126820 its reverse (28621023), we get a palindrome (348747843).

The spelling of 320126820 in words is "three hundred twenty million, one hundred twenty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2964 3705 4940 7410 14820 21601 43202 64803 86404 108005 129606 216010 259212 280813 324015 410419 432020 561626 648030 820838 842439 1123252 1231257 1296060 1404065 1641676 1684878 2052095 2462514 2808130 3369756 4104190 4212195 4925028 5335447 5616260 6156285 8208380 8424390 10670894 12312570 16006341 16848780 21341788 24625140 26677235 32012682 53354470 64025364 80031705 106708940 160063410 320126820