Search a number
-
+
8480220 = 2235761331
BaseRepresentation
bin100000010110…
…010111011100
3120221211200020
4200112113130
54132331340
6501432140
7132036450
oct40262734
916854606
108480220
114872351
122a0b650
1319abba8
1411aa660
15b279d0
hex8165dc

8480220 has 96 divisors (see below), whose sum is σ = 27664896. Its totient is φ = 1900800.

The previous prime is 8480207. The next prime is 8480221. The reversal of 8480220 is 220848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8480221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25455 + ... + 25785.

It is an arithmetic number, because the mean of its divisors is an integer number (288176).

Almost surely, 28480220 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 8480220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13832448).

8480220 is an abundant number, since it is smaller than the sum of its proper divisors (19184676).

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

8480220 is a wasteful number, since it uses less digits than its factorization.

8480220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8480220 is about 2912.0817296223. The cubic root of 8480220 is about 203.9243279505.

The spelling of 8480220 in words is "eight million, four hundred eighty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 61 70 84 105 122 140 183 210 244 305 331 366 420 427 610 662 732 854 915 993 1220 1281 1324 1655 1708 1830 1986 2135 2317 2562 3310 3660 3972 4270 4634 4965 5124 6405 6620 6951 8540 9268 9930 11585 12810 13902 19860 20191 23170 25620 27804 34755 40382 46340 60573 69510 80764 100955 121146 139020 141337 201910 242292 282674 302865 403820 424011 565348 605730 706685 848022 1211460 1413370 1696044 2120055 2826740 4240110 8480220