Search a number
-
+
8042220 = 2233553281
BaseRepresentation
bin11110101011011011101100
3120010120212000
4132223123230
54024322340
6444212300
7125233464
oct36533354
916116760
108042220
1145a326a
12283a090
131887714
1410d4ba4
15a8cd30
hex7ab6ec

8042220 has 96 divisors (see below), whose sum is σ = 25583040. Its totient is φ = 2096640.

The previous prime is 8042213. The next prime is 8042239. The reversal of 8042220 is 222408.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 8042193 and 8042202.

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, 28480 + ... + 28760.

It is an arithmetic number, because the mean of its divisors is an integer number (266490).

Almost surely, 28042220 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 8042220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12791520).

8042220 is an abundant number, since it is smaller than the sum of its proper divisors (17540820).

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

8042220 is a wasteful number, since it uses less digits than its factorization.

8042220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 8042220 is about 2835.8808155492. The cubic root of 8042220 is about 200.3512162082.

Adding to 8042220 its reverse (222408), we get a palindrome (8264628).

The spelling of 8042220 in words is "eight million, forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 90 106 108 135 159 180 212 265 270 281 318 477 530 540 562 636 795 843 954 1060 1124 1405 1431 1590 1686 1908 2385 2529 2810 2862 3180 3372 4215 4770 5058 5620 5724 7155 7587 8430 9540 10116 12645 14310 14893 15174 16860 25290 28620 29786 30348 37935 44679 50580 59572 74465 75870 89358 134037 148930 151740 178716 223395 268074 297860 402111 446790 536148 670185 804222 893580 1340370 1608444 2010555 2680740 4021110 8042220