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125605000 = 235425121
BaseRepresentation
bin1110111110010…
…01010010001000
322202100101200001
413133021102020
5224123330000
620244052344
73053424223
oct737112210
9282311601
10125605000
116499a994
12360940b4
132003a1b1
14129785ba
15b06146a
hex77c9488

125605000 has 40 divisors (see below), whose sum is σ = 294304230. Its totient is φ = 50240000.

The previous prime is 125604989. The next prime is 125605013. The reversal of 125605000 is 506521.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 925444 + 124679556 = 962^2 + 11166^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7561 + ... + 17560.

Almost surely, 2125605000 is an apocalyptic number.

125605000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125605000 is an abundant number, since it is smaller than the sum of its proper divisors (168699230).

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

125605000 is an equidigital number, since it uses as much as digits as its factorization.

125605000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25147 (or 25128 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 125605000 is about 11207.3636507432. The cubic root of 125605000 is about 500.8053687326.

The spelling of 125605000 in words is "one hundred twenty-five million, six hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 25121 50242 100484 125605 200968 251210 502420 628025 1004840 1256050 2512100 3140125 5024200 6280250 12560500 15700625 25121000 31401250 62802500 125605000