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125245440 = 211345151
BaseRepresentation
bin1110111011100…
…01100000000000
322201200010110000
413131301200000
5224030323230
620232240000
73050366025
oct735614000
9281603400
10125245440
1164774831
1235b40000
131cc42638
14128c354c
15aedeb60
hex7771800

125245440 has 240 divisors, whose sum is σ = 451891440. Its totient is φ = 33177600.

The previous prime is 125245433. The next prime is 125245441. The reversal of 125245440 is 44542521.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125245441) 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 19 ways as a sum of consecutive naturals, for example, 829365 + ... + 829515.

It is an arithmetic number, because the mean of its divisors is an integer number (1882881).

Almost surely, 2125245440 is an apocalyptic number.

125245440 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 125245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225945720).

125245440 is an abundant number, since it is smaller than the sum of its proper divisors (326646000).

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

125245440 is an equidigital number, since it uses as much as digits as its factorization.

125245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 125245440 is about 11191.3109151699. The cubic root of 125245440 is about 500.3270393772.

Adding to 125245440 its reverse (44542521), we get a palindrome (169787961).

The spelling of 125245440 in words is "one hundred twenty-five million, two hundred forty-five thousand, four hundred forty".