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125768440 = 2357449173
BaseRepresentation
bin1110111111100…
…01001011111000
322202122200212101
413133301023320
5224144042230
620251353144
73055004560
oct737611370
9282580771
10125768440
1164aa1766
12361527b4
13200966c5
14129bbda0
15b094aca
hex77f12f8

125768440 has 32 divisors (see below), whose sum is σ = 323405280. Its totient is φ = 43120512.

The previous prime is 125768413. The next prime is 125768473. The reversal of 125768440 is 44867521.

It is a self number, because there is not a number n which added to its sum of digits gives 125768440.

It is a congruent number.

It is an unprimeable number.

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, 224307 + ... + 224866.

It is an arithmetic number, because the mean of its divisors is an integer number (10106415).

Almost surely, 2125768440 is an apocalyptic number.

125768440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125768440 is an abundant number, since it is smaller than the sum of its proper divisors (197636840).

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

125768440 is a wasteful number, since it uses less digits than its factorization.

125768440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449191 (or 449187 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 125768440 is about 11214.6529148253. The cubic root of 125768440 is about 501.0224942523.

The spelling of 125768440 in words is "one hundred twenty-five million, seven hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 449173 898346 1796692 2245865 3144211 3593384 4491730 6288422 8983460 12576844 15721055 17966920 25153688 31442110 62884220 125768440