[go: up one dir, main page]

Search a number
-
+
21770064 = 2432178893
BaseRepresentation
bin101001100001…
…0111101010000
31111222000220200
41103002331100
521033120224
62054335200
7353020401
oct123027520
944860820
1021770064
111131a198
12735a500
134682cc4
142c699a8
151da05c9
hex14c2f50

21770064 has 60 divisors (see below), whose sum is σ = 64517076. Its totient is φ = 6829056.

The previous prime is 21770059. The next prime is 21770087. The reversal of 21770064 is 46007712.

It can be written as a sum of positive squares in 2 ways, for example, as 9659664 + 12110400 = 3108^2 + 3480^2 .

It is a congruent number.

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, 1999 + ... + 6894.

Almost surely, 221770064 is an apocalyptic number.

21770064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21770064 is an abundant number, since it is smaller than the sum of its proper divisors (42747012).

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

21770064 is a wasteful number, since it uses less digits than its factorization.

21770064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8924 (or 8915 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 21770064 is about 4665.8401172779. The cubic root of 21770064 is about 279.2243156903.

Adding to 21770064 its reverse (46007712), we get a palindrome (67777776).

The spelling of 21770064 in words is "twenty-one million, seven hundred seventy thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 8893 17786 26679 35572 53358 71144 80037 106716 142288 151181 160074 213432 302362 320148 426864 453543 604724 640296 907086 1209448 1280592 1360629 1814172 2418896 2721258 3628344 5442516 7256688 10885032 21770064