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639216 = 243223193
BaseRepresentation
bin10011100000011110000
31012110211200
42130003300
5130423331
621411200
75301414
oct2340360
91173750
10639216
113a7286
12269b00
13194c46
14128d44
15c95e6
hex9c0f0

639216 has 60 divisors (see below), whose sum is σ = 1876368. Its totient is φ = 202752.

The previous prime is 639211. The next prime is 639253. The reversal of 639216 is 612936.

It is a happy number.

639216 is a `hidden beast` number, since 639 + 21 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 639216.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 639216.

It is not an unprimeable number, because it can be changed into a prime (639211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3216 + ... + 3408.

2639216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 639216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938184).

639216 is an abundant number, since it is smaller than the sum of its proper divisors (1237152).

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

639216 is a wasteful number, since it uses less digits than its factorization.

639216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 221 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 639216 is about 799.5098498455. The cubic root of 639216 is about 86.1421841227.

The spelling of 639216 in words is "six hundred thirty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 193 207 276 368 386 414 552 579 772 828 1104 1158 1544 1656 1737 2316 3088 3312 3474 4439 4632 6948 8878 9264 13317 13896 17756 26634 27792 35512 39951 53268 71024 79902 106536 159804 213072 319608 639216