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139072 = 264153
BaseRepresentation
bin100001111101000000
321001202211
4201331000
513422242
62551504
71116313
oct417500
9231684
10139072
119553a
1268594
134b3bb
143897a
152b317
hex21f40

139072 has 28 divisors (see below), whose sum is σ = 288036. Its totient is φ = 66560.

The previous prime is 139067. The next prime is 139079. The reversal of 139072 is 270931.

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 92416 = 216^2 + 304^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139079) by changing a digit.

139072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2598 + ... + 2650.

It is an arithmetic number, because the mean of its divisors is an integer number (10287).

2139072 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 139072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144018).

139072 is an abundant number, since it is smaller than the sum of its proper divisors (148964).

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

139072 is an equidigital number, since it uses as much as digits as its factorization.

139072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 139072 is about 372.9235846658. The cubic root of 139072 is about 51.8099571900.

The spelling of 139072 in words is "one hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 4 8 16 32 41 53 64 82 106 164 212 328 424 656 848 1312 1696 2173 2624 3392 4346 8692 17384 34768 69536 139072