Search a number
-
+
139284 = 22325373
BaseRepresentation
bin100010000000010100
321002001200
4202000110
513424114
62552500
71120035
oct420024
9232050
10139284
1195712
1268730
134b522
1438a8c
152b409
hex22014

139284 has 36 divisors (see below), whose sum is σ = 363636. Its totient is φ = 44928.

The previous prime is 139273. The next prime is 139291. The reversal of 139284 is 482931.

139284 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 2 ways, for example, as 90000 + 49284 = 300^2 + 222^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1872 + ... + 1944.

It is an arithmetic number, because the mean of its divisors is an integer number (10101).

2139284 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 139284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181818).

139284 is an abundant number, since it is smaller than the sum of its proper divisors (224352).

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

139284 is a wasteful number, since it uses less digits than its factorization.

139284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 131 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 139284 is about 373.2077169620. The cubic root of 139284 is about 51.8362700220.

The spelling of 139284 in words is "one hundred thirty-nine thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 73 106 146 159 212 219 292 318 438 477 636 657 876 954 1314 1908 2628 3869 7738 11607 15476 23214 34821 46428 69642 139284