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8053220 = 2257234161
BaseRepresentation
bin11110101110000111100100
3120011010221102
4132232013210
54030200340
6444335232
7125310530
oct36560744
916133842
108053220
11460055a
122844518
13188c726
1410d8bc0
15a91215
hex7ae1e4

8053220 has 96 divisors (see below), whose sum is σ = 20998656. Its totient is φ = 2534400.

The previous prime is 8053219. The next prime is 8053249. The reversal of 8053220 is 223508.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 8053192 and 8053201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131990 + ... + 132050.

It is an arithmetic number, because the mean of its divisors is an integer number (218736).

Almost surely, 28053220 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 8053220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499328).

8053220 is an abundant number, since it is smaller than the sum of its proper divisors (12945436).

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

8053220 is a wasteful number, since it uses less digits than its factorization.

8053220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 8053220 is about 2837.8195855269. The cubic root of 8053220 is about 200.4425201574.

Adding to 8053220 its reverse (223508), we get a palindrome (8276728).

It can be divided in two parts, 805 and 3220, that multiplied together give a square (2592100 = 16102).

The spelling of 8053220 in words is "eight million, fifty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 41 46 61 70 82 92 115 122 140 161 164 205 230 244 287 305 322 410 427 460 574 610 644 805 820 854 943 1148 1220 1403 1435 1610 1708 1886 2135 2501 2806 2870 3220 3772 4270 4715 5002 5612 5740 6601 7015 8540 9430 9821 10004 12505 13202 14030 17507 18860 19642 25010 26404 28060 33005 35014 39284 49105 50020 57523 66010 70028 87535 98210 115046 132020 175070 196420 230092 287615 350140 402661 575230 805322 1150460 1610644 2013305 4026610 8053220