Search a number
-
+
82420360 = 23511217029
BaseRepresentation
bin1001110100110…
…10001010001000
312202002101110221
410322122022020
5132044422420
612102315424
72020363411
oct472321210
9182071427
1082420360
1142584700
1223728b74
13140c9c59
14ad36808
157380caa
hex4e9a288

82420360 has 48 divisors (see below), whose sum is σ = 203849100. Its totient is φ = 29969280.

The previous prime is 82420357. The next prime is 82420381. The reversal of 82420360 is 6302428.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 81757764 + 662596 = 9042^2 + 814^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3675 + ... + 13354.

Almost surely, 282420360 is an apocalyptic number.

It is an amenable number.

82420360 is an abundant number, since it is smaller than the sum of its proper divisors (121428740).

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

82420360 is a wasteful number, since it uses less digits than its factorization.

82420360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17062 (or 17047 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 82420360 is about 9078.5659660543. The cubic root of 82420360 is about 435.1892601381.

Adding to 82420360 its reverse (6302428), we get a palindrome (88722788).

The spelling of 82420360 in words is "eighty-two million, four hundred twenty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 17029 34058 68116 85145 136232 170290 187319 340580 374638 681160 749276 936595 1498552 1873190 2060509 3746380 4121018 7492760 8242036 10302545 16484072 20605090 41210180 82420360