Search a number
-
+
10540377 = 324992347
BaseRepresentation
bin101000001101…
…010101011001
3201211111200100
4220031111121
510144243002
61013530013
7155406651
oct50152531
921744610
1010540377
115a4a161
123643909
132250813
141585361
15dd311c
hexa0d559

10540377 has 12 divisors (see below), whose sum is σ = 15262000. Its totient is φ = 7009848.

The previous prime is 10540367. The next prime is 10540379. The reversal of 10540377 is 77304501.

It is not a de Polignac number, because 10540377 - 28 = 10540121 is a prime.

It is a super-3 number, since 3×105403773 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10540377.

It is not an unprimeable number, because it can be changed into a prime (10540379) 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 11 ways as a sum of consecutive naturals, for example, 3318 + ... + 5664.

Almost surely, 210540377 is an apocalyptic number.

It is an amenable number.

10540377 is a deficient number, since it is larger than the sum of its proper divisors (4721623).

10540377 is a wasteful number, since it uses less digits than its factorization.

10540377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 10540377 is about 3246.5946775044. The cubic root of 10540377 is about 219.2562834429.

Adding to 10540377 its reverse (77304501), we get a palindrome (87844878).

The spelling of 10540377 in words is "ten million, five hundred forty thousand, three hundred seventy-seven".

Divisors: 1 3 9 499 1497 2347 4491 7041 21123 1171153 3513459 10540377