Search a number
-
+
18282820 = 2251753773
BaseRepresentation
bin100010110111…
…1100101000100
31021101212022111
41011233211010
514140022240
61451510404
7311254453
oct105574504
937355274
1018282820
11a358176
126158404
133a3194a
1425dcb9a
1519121ea
hex116f944

18282820 has 24 divisors (see below), whose sum is σ = 40653144. Its totient is φ = 6882816.

The previous prime is 18282791. The next prime is 18282833. The reversal of 18282820 is 2828281.

It can be written as a sum of positive squares in 4 ways, for example, as 5308416 + 12974404 = 2304^2 + 3602^2 .

It is a super-3 number, since 3×182828203 (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26547 + ... + 27226.

It is an arithmetic number, because the mean of its divisors is an integer number (1693881).

Almost surely, 218282820 is an apocalyptic number.

18282820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18282820 is an abundant number, since it is smaller than the sum of its proper divisors (22370324).

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

18282820 is a wasteful number, since it uses less digits than its factorization.

18282820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53799 (or 53797 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 18282820 is about 4275.8414376588. The cubic root of 18282820 is about 263.4396017534.

The spelling of 18282820 in words is "eighteen million, two hundred eighty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 53773 107546 215092 268865 537730 914141 1075460 1828282 3656564 4570705 9141410 18282820