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139808 = 2517257
BaseRepresentation
bin100010001000100000
321002210002
4202020200
513433213
62555132
71121414
oct421040
9232702
10139808
1196049
1268aa8
134b836
1438d44
152b658
hex22220

139808 has 24 divisors (see below), whose sum is σ = 292572. Its totient is φ = 65536.

The previous prime is 139801. The next prime is 139813. The reversal of 139808 is 808931.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 110224 + 29584 = 332^2 + 172^2 .

It is an Ulam number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 139808.

It is not an unprimeable number, because it can be changed into a prime (139801) by changing a digit.

In principle, a polygon with 139808 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 416 + ... + 672.

2139808 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 139808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146286).

139808 is an abundant number, since it is smaller than the sum of its proper divisors (152764).

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

139808 is a wasteful number, since it uses less digits than its factorization.

139808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 139808 is about 373.9090798577. The cubic root of 139808 is about 51.9011930431.

The spelling of 139808 in words is "one hundred thirty-nine thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 257 272 514 544 1028 2056 4112 4369 8224 8738 17476 34952 69904 139808