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139728 = 2434171
BaseRepresentation
bin100010000111010000
321002200010
4202013100
513432403
62554520
71121241
oct420720
9232603
10139728
1195a86
1268a40
134b7a4
1438cc8
152b603
hex221d0

139728 has 40 divisors (see below), whose sum is σ = 374976. Its totient is φ = 44800.

The previous prime is 139721. The next prime is 139729. The reversal of 139728 is 827931.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 139695 and 139704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139721) by changing a digit.

139728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1933 + ... + 2003.

2139728 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 139728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488).

139728 is an abundant number, since it is smaller than the sum of its proper divisors (235248).

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

139728 is a wasteful number, since it uses less digits than its factorization.

139728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 139728 is about 373.8020866715. The cubic root of 139728 is about 51.8912916363.

The spelling of 139728 in words is "one hundred thirty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 71 82 123 142 164 213 246 284 328 426 492 568 656 852 984 1136 1704 1968 2911 3408 5822 8733 11644 17466 23288 34932 46576 69864 139728