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125055 = 3257397
BaseRepresentation
bin11110100001111111
320100112200
4132201333
513000210
62402543
71030410
oct364177
9210480
10125055
1185a57
1260453
1344bc8
1433807
15270c0
hex1e87f

125055 has 24 divisors (see below), whose sum is σ = 248352. Its totient is φ = 57024.

The previous prime is 125053. The next prime is 125063. The reversal of 125055 is 550521.

It is not a de Polignac number, because 125055 - 21 = 125053 is a prime.

125055 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125055.

It is not an unprimeable number, because it can be changed into a prime (125053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117 + ... + 513.

It is an arithmetic number, because the mean of its divisors is an integer number (10348).

125055 is a Friedman number, since it can be written as 55+50^(2+1), using all its digits and the basic arithmetic operations.

It is the magic constant of a 63 × 63 magic square.

2125055 is an apocalyptic number.

125055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

125055 is a deficient number, since it is larger than the sum of its proper divisors (123297).

125055 is a wasteful number, since it uses less digits than its factorization.

125055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 125055 is about 353.6311637851. The cubic root of 125055 is about 50.0073322580.

Adding to 125055 its reverse (550521), we get a palindrome (675576).

The spelling of 125055 in words is "one hundred twenty-five thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 397 1191 1985 2779 3573 5955 8337 13895 17865 25011 41685 125055