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139824 = 2432971
BaseRepresentation
bin100010001000110000
321002210200
4202020300
513433244
62555200
71121436
oct421060
9232720
10139824
1196063
1268b00
134b849
1438d56
152b669
hex22230

139824 has 30 divisors (see below), whose sum is σ = 391716. Its totient is φ = 46560.

The previous prime is 139813. The next prime is 139831. The reversal of 139824 is 428931.

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 139824.

It is an unprimeable number.

139824 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 342 + ... + 629.

139824 is a Friedman number, since it can be written as 2913*48, using all its digits and the basic arithmetic operations.

2139824 is an apocalyptic number.

It is an amenable number.

139824 is an abundant number, since it is smaller than the sum of its proper divisors (251892).

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

139824 is a wasteful number, since it uses less digits than its factorization.

139824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 976 counting only the distinct ones).

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

The square root of 139824 is about 373.9304748212. The cubic root of 139824 is about 51.9031728712.

The spelling of 139824 in words is "one hundred thirty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 971 1942 2913 3884 5826 7768 8739 11652 15536 17478 23304 34956 46608 69912 139824