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139264 = 21317
BaseRepresentation
bin100010000000000000
321002000221
4202000000
513424024
62552424
71120006
oct420000
9232027
10139264
11956a4
1268714
134b508
1438a76
152b3e4
hex22000

139264 has 28 divisors (see below), whose sum is σ = 294894. Its totient is φ = 65536.

The previous prime is 139241. The next prime is 139267. The reversal of 139264 is 462931.

It can be written as a sum of positive squares in only one way, i.e., 102400 + 36864 = 320^2 + 192^2 .

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 139264 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8184 + ... + 8200.

139264 is a Friedman number, since it can be written as (9*4-2)*(3+1)^6, using all its digits and the basic arithmetic operations.

2139264 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 139264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147447).

139264 is an abundant number, since it is smaller than the sum of its proper divisors (155630).

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

139264 is an frugal number, since it uses more digits than its factorization.

139264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 19 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 139264 is about 373.1809212701. The cubic root of 139264 is about 51.8337888204.

The spelling of 139264 in words is "one hundred thirty-nine thousand, two hundred sixty-four".