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10431 = 321961
BaseRepresentation
bin10100010111111
3112022100
42202333
5313211
6120143
742261
oct24277
915270
1010431
117923
126053
134995
143b31
153156
hex28bf

10431 has 12 divisors (see below), whose sum is σ = 16120. Its totient is φ = 6480.

The previous prime is 10429. The next prime is 10433. The reversal of 10431 is 13401.

10431 is digitally balanced in base 3, 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 (10429) and next prime (10433).

It is not a de Polignac number, because 10431 - 21 = 10429 is a prime.

It is a super-2 number, since 2×104312 = 217611522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

10431 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141 + ... + 201.

210431 is an apocalyptic number.

10431 is a deficient number, since it is larger than the sum of its proper divisors (5689).

10431 is a wasteful number, since it uses less digits than its factorization.

10431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10431 is about 102.1322671833. The cubic root of 10431 is about 21.8495240834.

Adding to 10431 its reverse (13401), we get a palindrome (23832).

It can be divided in two parts, 10 and 431, that added together give a square (441 = 212).

The spelling of 10431 in words is "ten thousand, four hundred thirty-one".

Divisors: 1 3 9 19 57 61 171 183 549 1159 3477 10431