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118265625 = 3256292
BaseRepresentation
bin1110000110010…
…01011100011001
322020112111221100
413003021130121
5220234000000
615422502013
72634145512
oct703113431
9266474840
10118265625
1160837795
1233734909
131b66a67a
14119c7a09
15a5b1a00
hex70c9719

118265625 has 63 divisors (see below), whose sum is σ = 221149513. Its totient is φ = 60900000.

The previous prime is 118265611. The next prime is 118265629. The reversal of 118265625 is 526562811.

The square root of 118265625 is 10875.

It is a perfect power (a square), and thus also a powerful number.

118265625 is a `hidden beast` number, since 1 + 1 + 8 + 26 + 5 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 100220121 + 18045504 = 10011^2 + 4248^2 .

It is not a de Polignac number, because 118265625 - 25 = 118265593 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 118265625.

It is not an unprimeable number, because it can be changed into a prime (118265629) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 4078111 + ... + 4078139.

Almost surely, 2118265625 is an apocalyptic number.

118265625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

118265625 is the 10875-th square number.

118265625 is the 5438-th centered octagonal number.

It is an amenable number.

118265625 is a deficient number, since it is larger than the sum of its proper divisors (102883888).

118265625 is an frugal number, since it uses more digits than its factorization.

118265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 37 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The cubic root of 118265625 is about 490.8545756429.

Multiplying 118265625 by its sum of digits (36), we get a square (4257562500 = 652502).

The spelling of 118265625 in words is "one hundred eighteen million, two hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 125 145 225 261 375 435 625 725 841 1125 1305 1875 2175 2523 3125 3625 4205 5625 6525 7569 9375 10875 12615 15625 18125 21025 28125 32625 37845 46875 54375 63075 90625 105125 140625 163125 189225 271875 315375 453125 525625 815625 946125 1359375 1576875 2628125 4078125 4730625 7884375 13140625 23653125 39421875 118265625