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12735853 = 131974973
BaseRepresentation
bin110000100101…
…010101101101
3212222001022021
4300211111231
511230021403
61132550141
7213152524
oct60452555
925861267
1012735853
1172096a9
124322351
13283bc10
1419974bb
1511b88bd
hexc2556d

12735853 has 8 divisors (see below), whose sum is σ = 13787928. Its totient is φ = 11694144.

The previous prime is 12735841. The next prime is 12735883. The reversal of 12735853 is 35853721.

12735853 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3992004 + 8743849 = 1998^2 + 2957^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12735853 - 221 = 10638701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12735883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75 + ... + 5047.

It is an arithmetic number, because the mean of its divisors is an integer number (1723491).

Almost surely, 212735853 is an apocalyptic number.

12735853 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12735853 is a deficient number, since it is larger than the sum of its proper divisors (1052075).

12735853 is a wasteful number, since it uses less digits than its factorization.

12735853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5183.

The product of its digits is 25200, while the sum is 34.

The square root of 12735853 is about 3568.7326882242. The cubic root of 12735853 is about 233.5299999512.

The spelling of 12735853 in words is "twelve million, seven hundred thirty-five thousand, eight hundred fifty-three".

Divisors: 1 13 197 2561 4973 64649 979681 12735853