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13937084 = 2274091217
BaseRepresentation
bin110101001010…
…100110111100
3222020002002022
4311022212330
512031441314
61214415312
7226314620
oct65124674
928202068
1013937084
11795a157
124801538
132b6c8c5
141bcb180
15135478e
hexd4a9bc

13937084 has 24 divisors (see below), whose sum is σ = 27965280. Its totient is φ = 5953536.

The previous prime is 13937083. The next prime is 13937137. The reversal of 13937084 is 48073931.

13937084 = T1992 + T1993 + ... + T1998.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13937083) 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 7 ways as a sum of consecutive naturals, for example, 10844 + ... + 12060.

It is an arithmetic number, because the mean of its divisors is an integer number (1165220).

Almost surely, 213937084 is an apocalyptic number.

13937084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13937084 is an abundant number, since it is smaller than the sum of its proper divisors (14028196).

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

13937084 is a wasteful number, since it uses less digits than its factorization.

13937084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 13937084 is about 3733.2404155104. The cubic root of 13937084 is about 240.6526449151.

The spelling of 13937084 in words is "thirteen million, nine hundred thirty-seven thousand, eighty-four".

Divisors: 1 2 4 7 14 28 409 818 1217 1636 2434 2863 4868 5726 8519 11452 17038 34076 497753 995506 1991012 3484271 6968542 13937084