Search a number
-
+
264069216 = 2532916907
BaseRepresentation
bin11111011110101…
…10000001100000
3200101220002212100
433233112001200
51020100203331
642111530400
76354360045
oct1757260140
9611802770
10264069216
11126073124
1274529a00
134292a498
14270dd1cc
15182b2ae6
hexfbd6060

264069216 has 36 divisors (see below), whose sum is σ = 750947652. Its totient is φ = 88022976.

The previous prime is 264069209. The next prime is 264069227. The reversal of 264069216 is 612960462.

264069216 is a `hidden beast` number, since 2 + 640 + 6 + 9 + 2 + 1 + 6 = 666.

264069216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 458166 + ... + 458741.

It is an arithmetic number, because the mean of its divisors is an integer number (20859657).

Almost surely, 2264069216 is an apocalyptic number.

It is an amenable number.

264069216 is an abundant number, since it is smaller than the sum of its proper divisors (486878436).

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

264069216 is a wasteful number, since it uses less digits than its factorization.

264069216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916923 (or 916912 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 264069216 is about 16250.2066448399. The cubic root of 264069216 is about 641.5629249124.

The spelling of 264069216 in words is "two hundred sixty-four million, sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 916907 1833814 2750721 3667628 5501442 7335256 8252163 11002884 14670512 16504326 22005768 29341024 33008652 44011536 66017304 88023072 132034608 264069216