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13813125 = 35453139
BaseRepresentation
bin110100101100…
…010110000101
3221222210001020
4310230112011
512014010000
61212021353
7225260334
oct64542605
927883036
1013813125
117885007
124761859
132b28361
141b97d1b
15132cba0
hexd2c585

13813125 has 40 divisors (see below), whose sum is σ = 23617440. Its totient is φ = 7176000.

The previous prime is 13813123. The next prime is 13813127. The reversal of 13813125 is 52131831.

It is an interprime number because it is at equal distance from previous prime (13813123) and next prime (13813127).

It is not a de Polignac number, because 13813125 - 21 = 13813123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13813095 and 13813104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13813123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99306 + ... + 99444.

It is an arithmetic number, because the mean of its divisors is an integer number (590436).

Almost surely, 213813125 is an apocalyptic number.

13813125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13813125 is a deficient number, since it is larger than the sum of its proper divisors (9804315).

13813125 is an equidigital number, since it uses as much as digits as its factorization.

13813125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 200 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 13813125 is about 3716.6012699777. The cubic root of 13813125 is about 239.9370494621.

Adding to 13813125 its reverse (52131831), we get a palindrome (65944956).

The spelling of 13813125 in words is "thirteen million, eight hundred thirteen thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 53 75 125 139 159 265 375 417 625 695 795 1325 1875 2085 3475 3975 6625 7367 10425 17375 19875 22101 33125 36835 52125 86875 99375 110505 184175 260625 552525 920875 2762625 4604375 13813125