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13925840 = 2451091597
BaseRepresentation
bin110101000111…
…110111010000
3222012111122212
4311013313100
512031111330
61214251252
7226240055
oct65076720
928174585
1013925840
117951765
1247b6b28
132b67756
141bc702c
151351295
hexd47dd0

13925840 has 40 divisors (see below), whose sum is σ = 32695080. Its totient is φ = 5515776.

The previous prime is 13925837. The next prime is 13925893. The reversal of 13925840 is 4852931.

It can be written as a sum of positive squares in 4 ways, for example, as 937024 + 12988816 = 968^2 + 3604^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 13925797 and 13925806.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7922 + ... + 9518.

It is an arithmetic number, because the mean of its divisors is an integer number (817377).

Almost surely, 213925840 is an apocalyptic number.

13925840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13925840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16347540).

13925840 is an abundant number, since it is smaller than the sum of its proper divisors (18769240).

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

13925840 is a wasteful number, since it uses less digits than its factorization.

13925840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 13925840 is about 3731.7341813157. The cubic root of 13925840 is about 240.5879105143.

The spelling of 13925840 in words is "thirteen million, nine hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1597 1744 2180 3194 4360 6388 7985 8720 12776 15970 25552 31940 63880 127760 174073 348146 696292 870365 1392584 1740730 2785168 3481460 6962920 13925840