Search a number
-
+
125984 = 2531127
BaseRepresentation
bin11110110000100000
320101211002
4132300200
513012414
62411132
71033205
oct366040
9211732
10125984
1186721
1260aa8
1345461
1433cac
15274de
hex1ec20

125984 has 24 divisors (see below), whose sum is σ = 258048. Its totient is φ = 60480.

The previous prime is 125963. The next prime is 126001. The reversal of 125984 is 489521.

Its product of digits (2880) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is an unprimeable number.

125984 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 929 + ... + 1055.

It is an arithmetic number, because the mean of its divisors is an integer number (10752).

2125984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129024).

125984 is an abundant number, since it is smaller than the sum of its proper divisors (132064).

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

125984 is a wasteful number, since it uses less digits than its factorization.

125984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its digits is 2880, while the sum is 29.

The square root of 125984 is about 354.9422488237. The cubic root of 125984 is about 50.1308572289.

The spelling of 125984 in words is "one hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 62 124 127 248 254 496 508 992 1016 2032 3937 4064 7874 15748 31496 62992 125984