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1054431 = 3372797
BaseRepresentation
bin100000001011011011111
31222120102000
410001123133
5232220211
634333343
711651100
oct4013337
91876360
101054431
11660234
1242a253
132abc31
141d63a7
1515c656
hex1016df

1054431 has 24 divisors (see below), whose sum is σ = 1819440. Its totient is φ = 601776.

The previous prime is 1054429. The next prime is 1054439. The reversal of 1054431 is 1344501.

It is a happy number.

1054431 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 1054431 - 21 = 1054429 is a prime.

It is a super-2 number, since 2×10544312 = 2223649467522, which contains 22 as substring.

1054431 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 925 + ... + 1721.

It is an arithmetic number, because the mean of its divisors is an integer number (75810).

21054431 is an apocalyptic number.

1054431 is a deficient number, since it is larger than the sum of its proper divisors (765009).

1054431 is an equidigital number, since it uses as much as digits as its factorization.

1054431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1054431 is about 1026.8549069854. The cubic root of 1054431 is about 101.7824081237.

Adding to 1054431 its reverse (1344501), we get a palindrome (2398932).

It can be divided in two parts, 1054 and 431, that added together give a triangular number (1485 = T54).

The spelling of 1054431 in words is "one million, fifty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 797 1323 2391 5579 7173 16737 21519 39053 50211 117159 150633 351477 1054431