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20314125 = 335313463
BaseRepresentation
bin100110101111…
…1100000001101
31102020001202000
41031133200031
520200023000
62003222513
7334444566
oct115374015
942201660
1020314125
1110515337
126977a39
1342933c0
1429ab16d
151bb4000
hex135f80d

20314125 has 64 divisors (see below), whose sum is σ = 40535040. Its totient is φ = 9979200.

The previous prime is 20314117. The next prime is 20314127. The reversal of 20314125 is 52141302.

It is not a de Polignac number, because 20314125 - 23 = 20314117 is a prime.

It is a plaindrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 20314098 and 20314107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20314127) 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 63 ways as a sum of consecutive naturals, for example, 43644 + ... + 44106.

It is an arithmetic number, because the mean of its divisors is an integer number (633360).

Almost surely, 220314125 is an apocalyptic number.

20314125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20314125 is a deficient number, since it is larger than the sum of its proper divisors (20220915).

20314125 is a wasteful number, since it uses less digits than its factorization.

20314125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 484 counting only the distinct ones).

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

The square root of 20314125 is about 4507.1193682884. The cubic root of 20314125 is about 272.8554965238.

Adding to 20314125 its reverse (52141302), we get a palindrome (72455427).

The spelling of 20314125 in words is "twenty million, three hundred fourteen thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 117 125 135 195 225 325 351 375 463 585 675 975 1125 1389 1625 1755 2315 2925 3375 4167 4875 6019 6945 8775 11575 12501 14625 18057 20835 30095 34725 43875 54171 57875 62505 90285 104175 150475 162513 173625 270855 312525 451425 520875 752375 812565 1354275 1562625 2257125 4062825 6771375 20314125