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10540341 = 337231257
BaseRepresentation
bin101000001101…
…010100110101
3201211111122000
4220031110311
510144242331
61013525513
7155406600
oct50152465
921744560
1010540341
115a4a129
123643899
1322507b6
141585337
15dd30e6
hexa0d535

10540341 has 48 divisors (see below), whose sum is σ = 18823680. Its totient is φ = 5806080.

The previous prime is 10540337. The next prime is 10540363. The reversal of 10540341 is 14304501.

It is a happy number.

It is not a de Polignac number, because 10540341 - 22 = 10540337 is a prime.

It is a super-2 number, since 2×105403412 = 222197576792562, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540331) 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 47 ways as a sum of consecutive naturals, for example, 40885 + ... + 41141.

It is an arithmetic number, because the mean of its divisors is an integer number (392160).

Almost surely, 210540341 is an apocalyptic number.

It is an amenable number.

10540341 is a deficient number, since it is larger than the sum of its proper divisors (8283339).

10540341 is a wasteful number, since it uses less digits than its factorization.

10540341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 298 counting only the distinct ones).

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

The square root of 10540341 is about 3246.5891332289. The cubic root of 10540341 is about 219.2560338239.

Adding to 10540341 its reverse (14304501), we get a palindrome (24844842).

The spelling of 10540341 in words is "ten million, five hundred forty thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 27 31 49 63 93 147 189 217 257 279 441 651 771 837 1323 1519 1799 1953 2313 4557 5397 5859 6939 7967 12593 13671 16191 23901 37779 41013 48573 55769 71703 113337 167307 215109 340011 390383 501921 1171149 1505763 3513447 10540341