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1243125 = 32541317
BaseRepresentation
bin100101111011111110101
32100011020200
410233133311
5304240000
642351113
713365162
oct4573765
92304220
101243125
11779a84
124bb499
13346aa0
14245069
15198500
hex12f7f5

1243125 has 60 divisors (see below), whose sum is σ = 2558556. Its totient is φ = 576000.

The previous prime is 1243111. The next prime is 1243129. The reversal of 1243125 is 5213421.

It can be written as a sum of positive squares in 10 ways, for example, as 1004004 + 239121 = 1002^2 + 489^2 .

It is not a de Polignac number, because 1243125 - 25 = 1243093 is a prime.

It is a Curzon number.

1243125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1243098 and 1243107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1243129) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 73117 + ... + 73133.

21243125 is an apocalyptic number.

1243125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1243125 is an abundant number, since it is smaller than the sum of its proper divisors (1315431).

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

1243125 is a wasteful number, since it uses less digits than its factorization.

1243125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 38 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 1243125 is about 1114.9551560489. The cubic root of 1243125 is about 107.5238814799.

Adding to 1243125 its reverse (5213421), we get a palindrome (6456546).

It can be divided in two parts, 124 and 3125, that added together give a square (3249 = 572).

The spelling of 1243125 in words is "one million, two hundred forty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 39 45 51 65 75 85 117 125 153 195 221 225 255 325 375 425 585 625 663 765 975 1105 1125 1275 1625 1875 1989 2125 2925 3315 3825 4875 5525 5625 6375 8125 9945 10625 14625 16575 19125 24375 27625 31875 49725 73125 82875 95625 138125 248625 414375 1243125