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125500 = 2253251
BaseRepresentation
bin11110101000111100
320101011011
4132220330
513004000
62405004
71031614
oct365074
9211134
10125500
1186321
1260764
134517b
1433a44
15272ba
hex1ea3c

125500 has 24 divisors (see below), whose sum is σ = 275184. Its totient is φ = 50000.

The previous prime is 125497. The next prime is 125507. The reversal of 125500 is 5521.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375 + ... + 625.

It is an arithmetic number, because the mean of its divisors is an integer number (11466).

125500 is a Friedman number, since it can be written as 25100*5, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 251500 (with its own digits).

2125500 is an apocalyptic number.

125500 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 125500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592).

125500 is an abundant number, since it is smaller than the sum of its proper divisors (149684).

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

125500 is a wasteful number, since it uses less digits than its factorization.

125500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 125500 is about 354.2597916784. The cubic root of 125500 is about 50.0665779748.

It can be divided in two parts, 125 and 500, that multiplied together give a square (62500 = 2502).

The spelling of 125500 in words is "one hundred twenty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 251 500 502 1004 1255 2510 5020 6275 12550 25100 31375 62750 125500