Search a number
-
+
13731039 = 34761397
BaseRepresentation
bin110100011000…
…010011011111
3221211121110000
4310120103133
512003343124
61210145343
7224466120
oct64302337
927747400
1013731039
117829373
124722253
132ac9b9a
141b76047
1513136c9
hexd184df

13731039 has 40 divisors (see below), whose sum is σ = 23886368. Its totient is φ = 7698240.

The previous prime is 13731037. The next prime is 13731043. The reversal of 13731039 is 93013731.

It is not a de Polignac number, because 13731039 - 21 = 13731037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13731031) 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 39 ways as a sum of consecutive naturals, for example, 34389 + ... + 34785.

Almost surely, 213731039 is an apocalyptic number.

13731039 is a deficient number, since it is larger than the sum of its proper divisors (10155329).

13731039 is an equidigital number, since it uses as much as digits as its factorization.

13731039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 13731039 is about 3705.5416608102. The cubic root of 13731039 is about 239.4608208481.

The spelling of 13731039 in words is "thirteen million, seven hundred thirty-one thousand, thirty-nine".

Divisors: 1 3 7 9 21 27 61 63 81 183 189 397 427 549 567 1191 1281 1647 2779 3573 3843 4941 8337 10719 11529 24217 25011 32157 34587 72651 75033 169519 217953 225099 508557 653859 1525671 1961577 4577013 13731039