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139520 = 285109
BaseRepresentation
bin100010000100000000
321002101102
4202010000
513431040
62553532
71120523
oct420400
9232342
10139520
1195907
12688a8
134b674
1438bba
152b515
hex22100

139520 has 36 divisors (see below), whose sum is σ = 337260. Its totient is φ = 55296.

The previous prime is 139511. The next prime is 139537. The reversal of 139520 is 25931.

It can be written as a sum of positive squares in 2 ways, for example, as 73984 + 65536 = 272^2 + 256^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 139492 and 139501.

It is an unprimeable number.

139520 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 (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1226 + ... + 1334.

2139520 is an apocalyptic number.

139520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168630).

139520 is an abundant number, since it is smaller than the sum of its proper divisors (197740).

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

139520 is an equidigital number, since it uses as much as digits as its factorization.

139520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 139520 is about 373.5237609577. The cubic root of 139520 is about 51.8655302790.

The spelling of 139520 in words is "one hundred thirty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 160 218 256 320 436 545 640 872 1090 1280 1744 2180 3488 4360 6976 8720 13952 17440 27904 34880 69760 139520