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13731825 = 352183091
BaseRepresentation
bin110100011000…
…011111110001
3221211122112010
4310120133301
512003404300
61210153133
7224501322
oct64303761
927748463
1013731825
117829a18
1247227a9
132aca353
141b76449
151313a50
hexd187f1

13731825 has 12 divisors (see below), whose sum is σ = 22703408. Its totient is φ = 7323600.

The previous prime is 13731821. The next prime is 13731827. The reversal of 13731825 is 52813731.

It is not a de Polignac number, because 13731825 - 22 = 13731821 is a prime.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13731792 and 13731801.

It is not an unprimeable number, because it can be changed into a prime (13731821) 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 11 ways as a sum of consecutive naturals, for example, 91471 + ... + 91620.

Almost surely, 213731825 is an apocalyptic number.

13731825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13731825 is a deficient number, since it is larger than the sum of its proper divisors (8971583).

13731825 is a wasteful number, since it uses less digits than its factorization.

13731825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183104 (or 183099 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 13731825 is about 3705.6477166617. The cubic root of 13731825 is about 239.4653898788.

The spelling of 13731825 in words is "thirteen million, seven hundred thirty-one thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 25 75 183091 549273 915455 2746365 4577275 13731825