Search a number
-
+
13814031 = 372118543
BaseRepresentation
bin110100101100…
…100100001111
3221222211021210
4310230210033
512014022111
61212025503
7225263100
oct64544417
927884253
1013814031
117885760
124762293
132b288aa
141b983a7
15132d0a6
hexd2c90f

13814031 has 24 divisors (see below), whose sum is σ = 23376384. Its totient is φ = 7175280.

The previous prime is 13814029. The next prime is 13814033. The reversal of 13814031 is 13041831.

13814031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13814029) and next prime (13814033).

It is not a de Polignac number, because 13814031 - 21 = 13814029 is a prime.

It is a super-2 number, since 2×138140312 = 381654904937922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13813989 and 13814007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13814033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2655 + ... + 5888.

It is an arithmetic number, because the mean of its divisors is an integer number (974016).

Almost surely, 213814031 is an apocalyptic number.

13814031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13814031 is a deficient number, since it is larger than the sum of its proper divisors (9562353).

13814031 is a wasteful number, since it uses less digits than its factorization.

13814031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8571 (or 8564 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 13814031 is about 3716.7231535319. The cubic root of 13814031 is about 239.9422951545.

Adding to 13814031 its reverse (13041831), we get a palindrome (26855862).

The spelling of 13814031 in words is "thirteen million, eight hundred fourteen thousand, thirty-one".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 8543 25629 59801 93973 179403 281919 418607 657811 1255821 1973433 4604677 13814031