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128625 = 35373
BaseRepresentation
bin11111011001110001
320112102220
4133121301
513104000
62431253
71044000
oct373161
9215386
10128625
1188702
1262529
1346713
1434c37
15281a0
hex1f671

128625 has 32 divisors (see below), whose sum is σ = 249600. Its totient is φ = 58800.

The previous prime is 128621. The next prime is 128629. The reversal of 128625 is 526821.

It is an interprime number because it is at equal distance from previous prime (128621) and next prime (128629).

It is an ABA number since it can be written as A⋅BA, here for A=3, B=35.

It is not a de Polignac number, because 128625 - 22 = 128621 is a prime.

Its product of digits (960) is a multiple of the sum of its prime divisors (15).

It is a junction number, because it is equal to n+sod(n) for n = 128595 and 128604.

It is not an unprimeable number, because it can be changed into a prime (128621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18372 + ... + 18378.

It is an arithmetic number, because the mean of its divisors is an integer number (7800).

2128625 is an apocalyptic number.

128625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128625 is a deficient number, since it is larger than the sum of its proper divisors (120975).

128625 is an frugal number, since it uses more digits than its factorization.

128625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 15 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 128625 is about 358.6432768086. The cubic root of 128625 is about 50.4787349608.

The spelling of 128625 in words is "one hundred twenty-eight thousand, six hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 125 147 175 245 343 375 525 735 875 1029 1225 1715 2625 3675 5145 6125 8575 18375 25725 42875 128625