Search a number
-
+
8420273820 = 22325724472731
BaseRepresentation
bin1111101011110001…
…10010111010011100
3210201211020020012100
413311320302322130
5114221042230240
63511311405100
7415443101160
oct76570627234
923654206170
108420273820
113631030392
12176bb23790
13a4263265a
1459c428ca0
15344365e30
hex1f5e32e9c

8420273820 has 144 divisors (see below), whose sum is σ = 29212904448. Its totient is φ = 1923143040.

The previous prime is 8420273809. The next prime is 8420273867. The reversal of 8420273820 is 283720248.

It is a super-2 number, since 2×84202738202 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3081855 + ... + 3084585.

It is an arithmetic number, because the mean of its divisors is an integer number (202867392).

Almost surely, 28420273820 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 8420273820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14606452224).

8420273820 is an abundant number, since it is smaller than the sum of its proper divisors (20792630628).

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

8420273820 is a wasteful number, since it uses less digits than its factorization.

8420273820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5200 (or 5195 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 8420273820 is about 91762.0499988966. The cubic root of 8420273820 is about 2034.4268152899.

The spelling of 8420273820 in words is "eight billion, four hundred twenty million, two hundred seventy-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2447 2731 4894 5462 7341 8193 9788 10924 12235 13655 14682 16386 17129 19117 22023 24470 24579 27310 29364 32772 34258 36705 38234 40965 44046 48940 49158 51387 54620 57351 68516 73410 76468 81930 85645 88092 95585 98316 102774 110115 114702 122895 146820 154161 163860 171290 172053 191170 205548 220230 229404 245790 256935 286755 308322 342580 344106 382340 440460 491580 513870 573510 616644 688212 770805 860265 1027740 1147020 1541610 1720530 3083220 3441060 6682757 13365514 20048271 26731028 33413785 40096542 46779299 60144813 66827570 80193084 93558598 100241355 120289626 133655140 140337897 187117196 200482710 233896495 240579252 280675794 300724065 400965420 421013691 467792990 561351588 601448130 701689485 842027382 935585980 1202896260 1403378970 1684054764 2105068455 2806757940 4210136910 8420273820