Search a number
-
+
20827680 = 253543391
BaseRepresentation
bin100111101110…
…0111000100000
31110012011012120
41033130320200
520312441210
62022224240
7342014046
oct117347040
943164176
1020827680
1110836165
126b85080
134413093
142aa2396
151c66270
hex13dce20

20827680 has 48 divisors (see below), whose sum is σ = 65608704. Its totient is φ = 5553920.

The previous prime is 20827679. The next prime is 20827693. The reversal of 20827680 is 8672802.

It is a tau number, because it is divible by the number of its divisors (48).

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, 21216 + ... + 22175.

It is an arithmetic number, because the mean of its divisors is an integer number (1366848).

Almost surely, 220827680 is an apocalyptic number.

20827680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20827680 is an abundant number, since it is smaller than the sum of its proper divisors (44781024).

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

20827680 is a wasteful number, since it uses less digits than its factorization.

20827680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43409 (or 43401 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 20827680 is about 4563.7353122196. The cubic root of 20827680 is about 275.1357126291.

The spelling of 20827680 in words is "twenty million, eight hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 43391 86782 130173 173564 216955 260346 347128 433910 520692 650865 694256 867820 1041384 1301730 1388512 1735640 2082768 2603460 3471280 4165536 5206920 6942560 10413840 20827680