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129825 = 3252577
BaseRepresentation
bin11111101100100001
320121002100
4133230201
513123300
62441013
71050333
oct375441
9217070
10129825
11895a3
1263169
1347127
1435453
1528700
hex1fb21

129825 has 18 divisors (see below), whose sum is σ = 232934. Its totient is φ = 69120.

The previous prime is 129803. The next prime is 129841. The reversal of 129825 is 528921.

129825 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 3 ways, for example, as 41616 + 88209 = 204^2 + 297^2 .

It is not a de Polignac number, because 129825 - 25 = 129793 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 64 + ... + 513.

2129825 is an apocalyptic number.

129825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

129825 is a deficient number, since it is larger than the sum of its proper divisors (103109).

129825 is a wasteful number, since it uses less digits than its factorization.

129825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 585 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 129825 is about 360.3123644839. The cubic root of 129825 is about 50.6352288430.

The spelling of 129825 in words is "one hundred twenty-nine thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 577 1731 2885 5193 8655 14425 25965 43275 129825