Search a number
-
+
13831047 = 331730133
BaseRepresentation
bin110100110000…
…101110000111
3222000200122000
4310300232013
512020043142
61212240343
7225363516
oct64605607
928020560
1013831047
11789751a
1247700b3
132b33569
141ba067d
15133314c
hexd30b87

13831047 has 16 divisors (see below), whose sum is σ = 21696480. Its totient is φ = 8678016.

The previous prime is 13831043. The next prime is 13831049. The reversal of 13831047 is 74013831.

13831047 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13831047 - 22 = 13831043 is a prime.

It is a super-2 number, since 2×138310472 = 382595722232418, which contains 22 as substring.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 13831047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13831043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14608 + ... + 15525.

It is an arithmetic number, because the mean of its divisors is an integer number (1356030).

Almost surely, 213831047 is an apocalyptic number.

13831047 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13831047 is a deficient number, since it is larger than the sum of its proper divisors (7865433).

13831047 is a wasteful number, since it uses less digits than its factorization.

13831047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30159 (or 30153 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13831047 is about 3719.0115622299. The cubic root of 13831047 is about 240.0407743223.

Adding to 13831047 its reverse (74013831), we get a palindrome (87844878).

The spelling of 13831047 in words is "thirteen million, eight hundred thirty-one thousand, forty-seven".

Divisors: 1 3 9 17 27 51 153 459 30133 90399 271197 512261 813591 1536783 4610349 13831047