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125257460 = 22541152753
BaseRepresentation
bin1110111011101…
…00011011110100
322201200201221012
413131310123310
5224031214320
620232411352
73050446046
oct735643364
9281621835
10125257460
1164782869
1235b46b58
131cc47c53
14128c7a96
15aee34c5
hex77746f4

125257460 has 24 divisors (see below), whose sum is σ = 269458056. Its totient is φ = 48880640.

The previous prime is 125257439. The next prime is 125257463. The reversal of 125257460 is 64752521.

It can be written as a sum of positive squares in 4 ways, for example, as 11792356 + 113465104 = 3434^2 + 10652^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125257463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75557 + ... + 77196.

It is an arithmetic number, because the mean of its divisors is an integer number (11227419).

Almost surely, 2125257460 is an apocalyptic number.

125257460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125257460 is an abundant number, since it is smaller than the sum of its proper divisors (144200596).

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

125257460 is a wasteful number, since it uses less digits than its factorization.

125257460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152803 (or 152801 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 125257460 is about 11191.8479260576. The cubic root of 125257460 is about 500.3430445870.

The spelling of 125257460 in words is "one hundred twenty-five million, two hundred fifty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 152753 305506 611012 763765 1527530 3055060 6262873 12525746 25051492 31314365 62628730 125257460