Search a number
-
+
20824160 = 255718593
BaseRepresentation
bin100111101110…
…0000001100000
31110011222101012
41033130001200
520312333120
62022200052
7342000560
oct117340140
943158335
1020824160
1110833555
126b83028
1344115b6
142aa0da0
151c651c5
hex13dc060

20824160 has 48 divisors (see below), whose sum is σ = 56228256. Its totient is φ = 7139328.

The previous prime is 20824159. The next prime is 20824189. The reversal of 20824160 is 6142802.

It is a congruent number.

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, 8177 + ... + 10416.

It is an arithmetic number, because the mean of its divisors is an integer number (1171422).

Almost surely, 220824160 is an apocalyptic number.

20824160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20824160 is an abundant number, since it is smaller than the sum of its proper divisors (35404096).

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

20824160 is a wasteful number, since it uses less digits than its factorization.

20824160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18615 (or 18607 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 20824160 is about 4563.3496469151. The cubic root of 20824160 is about 275.1202119064.

Adding to 20824160 its reverse (6142802), we get a palindrome (26966962).

The spelling of 20824160 in words is "twenty million, eight hundred twenty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 18593 37186 74372 92965 130151 148744 185930 260302 297488 371860 520604 594976 650755 743720 1041208 1301510 1487440 2082416 2603020 2974880 4164832 5206040 10412080 20824160