Search a number
-
+
21485760 = 263522381
BaseRepresentation
bin101000111110…
…1100011000000
31111102120220220
41101331203000
521000021020
62044303040
7350424462
oct121754300
944376826
1021485760
111114562a
127241a80
1345b378a
142bd4132
151d46240
hex147d8c0

21485760 has 56 divisors (see below), whose sum is σ = 68220336. Its totient is φ = 5729280.

The previous prime is 21485747. The next prime is 21485771. The reversal of 21485760 is 6758412.

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 7 ways as a sum of consecutive naturals, for example, 10231 + ... + 12150.

Almost surely, 221485760 is an apocalyptic number.

21485760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21485760 is an abundant number, since it is smaller than the sum of its proper divisors (46734576).

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

21485760 is a wasteful number, since it uses less digits than its factorization.

21485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22401 (or 22391 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 21485760 is about 4635.2734547166. The cubic root of 21485760 is about 278.0034849381.

The spelling of 21485760 in words is "twenty-one million, four hundred eighty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 22381 44762 67143 89524 111905 134286 179048 223810 268572 335715 358096 447620 537144 671430 716192 895240 1074288 1342860 1432384 1790480 2148576 2685720 3580960 4297152 5371440 7161920 10742880 21485760