Search a number
-
+
1054513341 = 327291633541
BaseRepresentation
bin111110110110101…
…001100010111101
32201111020211100200
4332312221202331
54124423411331
6252345514113
735063133630
oct7666514275
92644224320
101054513341
114a1277532
122551a2939
1313a6159bb
14a009bc17
156289d5e6
hex3eda98bd

1054513341 has 48 divisors (see below), whose sum is σ = 1812370560. Its totient is φ = 578067840.

The previous prime is 1054513337. The next prime is 1054513351. The reversal of 1054513341 is 1433154501.

It is a happy number.

1054513341 is a `hidden beast` number, since 105 + 4 + 513 + 3 + 41 = 666.

It is not a de Polignac number, because 1054513341 - 22 = 1054513337 is a prime.

It is a super-2 number, since 2×10545133412 = 2223996772693964562, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054513321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296031 + ... + 299571.

It is an arithmetic number, because the mean of its divisors is an integer number (37757720).

Almost surely, 21054513341 is an apocalyptic number.

It is an amenable number.

1054513341 is a deficient number, since it is larger than the sum of its proper divisors (757857219).

1054513341 is a wasteful number, since it uses less digits than its factorization.

1054513341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1054513341 is about 32473.2711780011. The cubic root of 1054513341 is about 1017.8505746639.

Adding to 1054513341 its reverse (1433154501), we get a palindrome (2487667842).

The spelling of 1054513341 in words is "one billion, fifty-four million, five hundred thirteen thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 29 63 87 163 203 261 489 609 1141 1467 1827 3423 3541 4727 10269 10623 14181 24787 31869 33089 42543 74361 99267 102689 223083 297801 308067 577183 718823 924201 1731549 2156469 4040281 5194647 6469407 12120843 16738307 36362529 50214921 117168149 150644763 351504447 1054513341