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13721085 = 3257431013
BaseRepresentation
bin110100010101…
…110111111101
3221211002210100
4310111313331
512003033320
61210031313
7224425110
oct64256775
927732710
1013721085
117821944
124718539
132ac54b1
141b72577
151310790
hexd15dfd

13721085 has 48 divisors (see below), whose sum is σ = 27840384. Its totient is φ = 6120576.

The previous prime is 13721063. The next prime is 13721093. The reversal of 13721085 is 58012731.

13721085 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13721085 - 210 = 13720061 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13039 + ... + 14051.

It is an arithmetic number, because the mean of its divisors is an integer number (580008).

Almost surely, 213721085 is an apocalyptic number.

13721085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13721085 is an abundant number, since it is smaller than the sum of its proper divisors (14119299).

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

13721085 is a wasteful number, since it uses less digits than its factorization.

13721085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 13721085 is about 3704.1982938282. The cubic root of 13721085 is about 239.4029429939.

The spelling of 13721085 in words is "thirteen million, seven hundred twenty-one thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 35 43 45 63 105 129 215 301 315 387 645 903 1013 1505 1935 2709 3039 4515 5065 7091 9117 13545 15195 21273 35455 43559 45585 63819 106365 130677 217795 304913 319095 392031 653385 914739 1524565 1960155 2744217 4573695 13721085